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Paper Citation Record · LEDGER

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.00450.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.00450 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T16:00:46.313858Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 72016e9b-1dd4-40ce-903a-1346c68cd9d3 · outbound

This paper cites Ahlberg, E.N.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Ahlberg, E.N

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.767291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.190469Z digest=sha256:7fc2b64c6327ac8f92243c0814443ac9677d6861b31e919d3d27ad252b310bb1

Observation 640bbf81-1f47-44cc-a7fa-7440708653d6 · outbound

This paper cites Babuˇ ska, Optimal quadrature formulas (Russian), Dokladi Akad.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Babuˇ ska, Optimal quadrature formulas (Russian), Dokladi Akad

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.749616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.195992Z digest=sha256:daabb33aca2a1698673576ddfc9cb7221759b82b39afe210054aadf7d2f254ee

Observation 23adb0fa-c23d-42f6-91b7-415ed7676707 · outbound

This paper cites Blaga, Gh.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Blaga, Gh

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.729091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.200504Z digest=sha256:cdaad9dd51d2ffe8e1709768bc737eca05cf11e6258d3908c61570a7938a2307

Observation fbb7c813-460d-4258-a5f4-e2ab7560b3dd · outbound

This paper cites Catina¸ s, Gh.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Catina¸ s, Gh

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.710982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.205419Z digest=sha256:f6f30a33ee0e7e11c93ff436898d0d48b7c346281c8742f73f7f0ff617436182

Observation 89758f99-5c44-4f44-bfff-b7b46866ccfc · outbound

This paper cites Hayotov, G.V.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Hayotov, G.V

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.694211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.210095Z digest=sha256:d3ad7babc748bf53582d0b1a93e8298b3f8c820eb388983d9aa2e0d85ed16e9b

Observation 4b339ab5-aeba-4352-bba3-e8805d57929c · outbound

This paper cites Hayotov, G.V.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Hayotov, G.V

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.677136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.215083Z digest=sha256:20d8508f433d9a1a44cda2ccb0bdf40ef592a35f5cff34328c25162e3c97f58a

Observation 02b784c4-4ed5-4a9d-9456-496a5046d793 · outbound

This paper cites K¨ ohler, On the weights of Sard’s quadrature formulas, Calcolo, 25 (1988) 169–186.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ K¨ ohler, On the weights of Sard’s quadrature formulas, Calcolo, 25 (1988) 169–186

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.660248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.219989Z digest=sha256:84cdb5c9a3b81b81d2bd86b1d9d29c2a507e6e4f78d991906bc3aead28079c18

Observation 919c2d02-d9cd-4a78-81e0-fc5671b9f91d · outbound

This paper cites Lanzara, On optimal quadrature formulae, J.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Lanzara, On optimal quadrature formulae, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.643460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.224877Z digest=sha256:43da11255ab808ce862ab3f4471f4f806b3364fc23f917c7506296e9e7046b6c

Observation 1741d4a9-37c5-4033-ac3d-c096d917f24a · outbound

This paper cites Micchelli, Best quadrature formulas at equally spac ed nodes, J.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Micchelli, Best quadrature formulas at equally spac ed nodes, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.626213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.230899Z digest=sha256:82fe8319f97b1532e106fc851e0ea5b204d8e374ad869c9fd1132d1e08dc4a06

Observation ef230c79-a567-4ba5-a38b-6e6cf97001c7 · outbound

This paper cites Nikolskii, Quadrature Formulas, Nauka, Moscow, 19 88.(in Russian).

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Nikolskii, Quadrature Formulas, Nauka, Moscow, 19 88.(in Russian)

Reference 10

Resolution
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raw_fallback, observed 2026-08-14T16:00:46.609636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.236085Z digest=sha256:a12816344bfb5e318e558c9c8c257b14ffd99b4ede2210ce8ca3f9af45cb0355

Observation 64cfb0bf-e527-4b8e-8bc3-9ac925637bff · outbound

This paper cites Sard, Best approximate integration formulas; best ap proximation formulas, Amer.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Sard, Best approximate integration formulas; best ap proximation formulas, Amer

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.592384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.241412Z digest=sha256:dbcba4d179f6e84b433edb2b6150b5872191467e0aa977ad92e7506cfb92a1d0

Observation 0f4f489f-49e9-482e-9a54-c5ca76722c73 · outbound

This paper cites Schoenberg, On monosplines of least deviation and b est quadrature formulae, J.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Schoenberg, On monosplines of least deviation and b est quadrature formulae, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.575276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.246592Z digest=sha256:1d29a252d850315292a65237276bd0240ed50f8562e0e0b23ebe0e9f31db4652

Observation 07a0ae64-251c-4ab4-81e3-1fb251bbb7b7 · outbound

This paper cites Schoenberg, S.D.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Schoenberg, S.D

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.558791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.251785Z digest=sha256:e203e6b9130821f2f5ea2c4fc699d38473df4c7edc38ec4a9ea9731aaa0384f2

Observation ea8dfe97-e821-4126-a900-fc3b83467915 · outbound

This paper cites Shadimetov, A.R.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Shadimetov, A.R

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.542577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.257157Z digest=sha256:9502fe5e3b71c410ed8188af8b42e9cc3a17de9c69d0094bb91af222f26046d6

Observation 76b1c890-40ec-4c58-a5fb-acce10d4e73b · outbound

This paper cites Shadimetov, A.R.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Shadimetov, A.R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.525727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.262639Z digest=sha256:cccb1c283001b346efcd6dfdc6d77ea6abd3f8396d3e2c72ef4c49c43513fe10

Observation bf7e68c3-f3dd-4385-8da1-e011e78c69ce · outbound

This paper cites Shadimetov, A.R.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Shadimetov, A.R

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.508656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.268940Z digest=sha256:d7eb5adf659bb9dfc9ba4a1d95aad5f9214c862395cd862d59d4543d25c24535

Observation 6965b615-e1ae-4660-a7f5-634d75367c5a · outbound

This paper cites Shadimetov, A.R.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Shadimetov, A.R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.491348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.274926Z digest=sha256:507e3037656b47b8c33f6a829dd3c48f9a9e6b78922382dbba9daacc851eef5d

Observation bfb6fde4-ad8f-402c-a2e1-1dbdc6ae5990 · outbound

This paper cites Shadimetov, A.R.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Shadimetov, A.R

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.470825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.280564Z digest=sha256:745e956efc44333c455a505eefc642b8fa52afc5d6e0e97aebf70e38c8c5aec0

Observation 97f4a77e-6a0b-43b1-9717-61ccbe6842c5 · outbound

This paper cites Shadimetov, F.A.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Shadimetov, F.A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.453390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.286135Z digest=sha256:e56ca3fda43ba9727c5927b2ff532ec914d6d4091d1c06403d7ea7364a793ad6

Observation 982645a0-a18c-4eac-a800-68eb97ceb758 · outbound

This paper cites Sobolev, The coefficients of optimal quadrature form ulas, Selected W orks of S.L.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Sobolev, The coefficients of optimal quadrature form ulas, Selected W orks of S.L

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.434556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.291871Z digest=sha256:380ff29417f4428ef143a2ab0a419b67a3561d9eb8d3a28e4daa65166ac3c569

Observation f757d028-1ea3-4ac8-a094-7956227a63b8 · outbound

This paper cites Sobolev, Introduction to the Theory of Cubature For mulas (Russian), Nauka, Moscow, 1974.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Sobolev, Introduction to the Theory of Cubature For mulas (Russian), Nauka, Moscow, 1974

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.414357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.297137Z digest=sha256:c02234ff223d3d6a1653f21e8e98fe1de598333f9415f57556eaa7c2a1333250

Observation 62b91079-cca6-4ad5-8bf7-45d7668a2551 · outbound

This paper cites Sobolev, V.L.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Sobolev, V.L

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.397070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.302447Z digest=sha256:1e65a8f5dacaacc8a9df8c5da5292fe0cca7e65067b388d8203311b2cf5e5ced

Observation 947fd248-7e20-4380-8b70-bef8308724d8 · outbound

This paper cites Zagirova, On construction of optimal quadrature f ormulas with equal spaced nodes (Russian).

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Zagirova, On construction of optimal quadrature f ormulas with equal spaced nodes (Russian)

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.381004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.308420Z digest=sha256:2feed37534337f8b07f439f9b38367a86181cd6c142d4810b8e497160c2c2eab

Observation e681d2d7-71d1-41b6-9c51-6b5ec2344227 · outbound

This paper cites Zhensikbaev, Monosplines of minimal norm and the be st quadrature formulas, Us- pekhi Mat.

The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$ Zhensikbaev, Monosplines of minimal norm and the be st quadrature formulas, Us- pekhi Mat

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T16:00:46.361973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T16:00:46.313858Z digest=sha256:1199298b9a47acf95159a54623eedf19e7a0ef29ee3cd8653a4e603f3019b600

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