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Paper Citation Record · LEDGER

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.09517.

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pith.paper-citation-record.v1
1908.09517 v1

Coverage vector

measured 19 of 19 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T11:19:00.493764Z

measured 19 of 19 standing notices

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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.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

19 of 19 outbound references displayed

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External citation measurements

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Outbound references

Observation 3858c8ca-6b57-4d15-b009-09f59b62dd9b · outbound

This paper cites Stepanets, Methods of Approximation Theory.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Stepanets, Methods of Approximation Theory

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.746543Z

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=2026-08-14T11:19:00.420486Z digest=sha256:1abc3210fa2d54d6eca8d5ae28e21c5cda04c4b72e5da2ce0ede3fba32880dda

Observation 715b709c-6dc7-47de-a9c7-3e4faa0c3a58 · outbound

This paper cites Stepanets, Deviation of Fourier sums on classes of i nfinitely differentiable functions, Ukr.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Stepanets, Deviation of Fourier sums on classes of i nfinitely differentiable functions, Ukr

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.734465Z

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.

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Observation 56551250-8b4d-404e-8f73-b3cf6a5471aa · outbound

This paper cites Nikol’skii, Approximation of functions in the mean by trigonometrical polynomials, (in Russian) Izv.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Nikol’skii, Approximation of functions in the mean by trigonometrical polynomials, (in Russian) Izv

Reference 3

Resolution
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raw_fallback, observed 2026-08-14T11:19:00.722119Z

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=2026-08-14T11:19:00.429453Z digest=sha256:e1602301bb2c32f79dd320e76e0d6c6f5ad445353f67e5d107ce23f137c134f7

Observation 2c538922-eb01-4a8d-a804-8bdc62f19f4f · outbound

This paper cites Stechkin, An estimate of the remainder term of Fouri er series for differ- entiable functions, (in Russian) Tr.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Stechkin, An estimate of the remainder term of Fouri er series for differ- entiable functions, (in Russian) Tr

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.710051Z

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=2026-08-14T11:19:00.433818Z digest=sha256:2581ef5ce2dec2f4a01a7b29b00b44a59bd11801e1fc2a90e92bb3bae6efe380

Observation cccea4bb-2ad9-470e-a6b8-8e2a5ad7efc0 · outbound

This paper cites Telyakovskii, Approximation of functions of high s moothness by Fourier sums, Ukr.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Telyakovskii, Approximation of functions of high s moothness by Fourier sums, Ukr

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.698441Z

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=2026-08-14T11:19:00.437969Z digest=sha256:b945b8f6d841da7eed65d6fb9661562bf5c0613feec6bd9fe6684a89d038531c

Observation bf071a09-83c0-485e-84a5-def15ddcd935 · outbound

This paper cites Stepanets, Deviations of Fourier sums on classes of entire functions, Ukr.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Stepanets, Deviations of Fourier sums on classes of entire functions, Ukr

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.686104Z

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=2026-08-14T11:19:00.442253Z digest=sha256:e63c88c085801c8484f64146ccf1263aaab37f083aa44ef2304bb6c34a7177c3

Observation 1bbf01ae-7d14-4503-b533-c950f0d1f3dc · outbound

This paper cites Serdyuk, Approximation of classes of analytic func tions by Fourier sums in the uniform metric, Ukr.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Serdyuk, Approximation of classes of analytic func tions by Fourier sums in the uniform metric, Ukr

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.674361Z

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=2026-08-14T11:19:00.446460Z digest=sha256:0fd21f64dd9958bac5b69acf9f347715b01ef73cc9a1bec1eae8015589ab5af3

Observation cb8b4c58-85d1-4f50-ab22-7e4a0330fa45 · outbound

This paper cites Uniform approximatio ns by Fourier sums on the classes of convolutions with generalized Poisso n kernels,.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Uniform approximatio ns by Fourier sums on the classes of convolutions with generalized Poisso n kernels,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.663563Z

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=2026-08-14T11:19:00.450118Z digest=sha256:594d46a9c0e394ab910e6e9144182c9868c5a7297c6d7f5bf4cbbed9b33985ad

Observation 0e25a380-4f75-45b8-bd27-1d4d99a24390 · outbound

This paper cites Serdyuk, T.A.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Serdyuk, T.A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.651092Z

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=2026-08-14T11:19:00.454551Z digest=sha256:0c7277994058792a0cd330429af93d69ecd5f84e679e656b225c8f0f0369f6c8

Observation 2c5783ce-6f7d-4a40-9b71-25d1e9319683 · outbound

This paper cites Serdyuk, T.A.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Serdyuk, T.A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.639906Z

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.

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Observation f3d3fc99-83bd-4bb6-ae37-57dd1a4c8c02 · outbound

This paper cites Stepanets, On the Lebesgue inequality on classes o f (ψ,β )-differentiable functions, Ukr.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Stepanets, On the Lebesgue inequality on classes o f (ψ,β )-differentiable functions, Ukr

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.628571Z

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=2026-08-14T11:19:00.462643Z digest=sha256:3be84b1424e18611382d178a8c64af14cfaeaf134b7ea3b1b2a91d34706ec1f9

Observation fb5c1908-9bb8-424b-bcae-5697ce2c50f4 · outbound

This paper cites Stepanets, A.S.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Stepanets, A.S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.616727Z

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.

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Observation 996a5a12-2b9a-4893-b643-5d13a5e8eef2 · outbound

This paper cites Serdyuk, A.P.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Serdyuk, A.P

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.604459Z

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=2026-08-14T11:19:00.470901Z digest=sha256:585bd6d8b3435508b964b3572aeeb857dc5ca80d1beecc08993c04c47fcfbc3f

Observation de9821c4-a55b-4fd5-a920-18c276b8c0c5 · outbound

This paper cites Serdyuk, A.P.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Serdyuk, A.P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.591405Z

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=2026-08-14T11:19:00.474547Z digest=sha256:9e218f99dd096a153170e048f3a356ee87fa7f394cf9e1c7388ac72327f3b1bd

Observation 1ca3e3e3-8ef3-4c6c-be9f-cf1ad69ff05a · outbound

This paper cites Serdyuk, T.A.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Serdyuk, T.A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.577683Z

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=2026-08-14T11:19:00.478396Z digest=sha256:7b8022bbbfd26e802865ccee12d392acedbe75a0cc5ded560749adddc9b49652

Observation 84b891e5-72b7-4ade-905e-1e4ab0c6a5fe · outbound

This paper cites Stepanets, A.S., Serdyuk, Approximation of perio dic analytic functions by interpolation trigonometric polynomials.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Stepanets, A.S., Serdyuk, Approximation of perio dic analytic functions by interpolation trigonometric polynomials

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.565485Z

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=2026-08-14T11:19:00.482066Z digest=sha256:b24754b2cf957ae563e54c4e467b160f7143a00756d62b4827dd74ab2cfaf2da

Observation 952ce23c-1577-46c9-b115-3d7fc4cfb4fd · outbound

This paper cites Serdyuk, Approximation of infinitely differentiab le periodic functions by interpolation trigonometric polynomials, Ukr.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Serdyuk, Approximation of infinitely differentiab le periodic functions by interpolation trigonometric polynomials, Ukr

Reference 17

Resolution
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raw_fallback, observed 2026-08-14T11:19:00.551664Z

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=2026-08-14T11:19:00.485738Z digest=sha256:faf767b72879f5702f2547cbb119775c25fd77b5974f78f4a5d04621b7de373c

Observation e476216e-fe39-48b1-97fb-79153c0b660c · outbound

This paper cites Serdyuk, Approximation by interpolation trigono metric polynomials on classes of periodic analytic functions.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Serdyuk, Approximation by interpolation trigono metric polynomials on classes of periodic analytic functions

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:19:00.539859Z

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=2026-08-14T11:19:00.489576Z digest=sha256:36f6e51f4fb0b85f22dcef61cb386d3eb6476fb81944fad75284157bb5f9e511

Observation feb18a5b-d742-4615-a509-ea720feb1b8c · outbound

This paper cites Korneichuk, Exact Constants in Approximation The ory, Vol.

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals Korneichuk, Exact Constants in Approximation The ory, Vol

Reference 19

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raw_fallback, observed 2026-08-14T11:19:00.527280Z

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=2026-08-14T11:19:00.493764Z digest=sha256:f124d859948ebd149c98422f56a08239b50a33ce877496bc23a711886e663eb0

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