Convergence of Riemann sums for functions which can be represented by trigonometric series with coefficients forming a monotonic sequence

Mathematical Notes ◽

10.1007/bf01146937 ◽

1970 ◽

Vol 8 (5) ◽

pp. 810-816

Author(s):

B. V. Pannikov

Keyword(s):

Trigonometric Series ◽

Riemann Sums ◽

Monotonic Sequence

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PROPERTIES OF RIEMANN SUMS FOR FUNCTIONS REPRESENTABLE BY A TRIGONOMETRIC SERIES WITH MONOTONE COEFFICIENTS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1975v026n03abeh002484 ◽

1975 ◽

Vol 26 (3) ◽

pp. 331-347

Author(s):

A J Petrovič

Keyword(s):

Trigonometric Series ◽

Riemann Sums ◽

Monotone Coefficients

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Trigonometric series with a given spectrum

Tunisian Journal of Mathematics ◽

10.2140/tunis.2020.2.881 ◽

2020 ◽

Vol 2 (4) ◽

pp. 881-906

Author(s):

Yves Meyer

Keyword(s):

Trigonometric Series

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Globally Small Riemann Sums and the Henstock Integral

Real Analysis Exchange ◽

10.2307/44153733 ◽

1990 ◽

Vol 16 (2) ◽

pp. 537 ◽

Author(s):

Shi-Pan ◽

Peng-Yee

Keyword(s):

Henstock Integral ◽

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RECTANGULAR AND ITERATED CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES

Real Analysis Exchange ◽

10.2307/44152419 ◽

1993 ◽

Vol 19 (2) ◽

pp. 644 ◽

Author(s):

Rinne

Keyword(s):

Trigonometric Series ◽

Multiple Trigonometric Series

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On generalizations of exact Peano derivatives and integrals - via the coefficient problems of convergent trigonometric series -

Real Analysis Exchange ◽

10.2307/44153547 ◽

1983 ◽

Vol 9 (2) ◽

pp. 369

Author(s):

Lee

Keyword(s):

Trigonometric Series ◽

Coefficient Problems ◽

Convergent Trigonometric Series

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Trigonometric Series after 1830

Series and Products in the Development of Mathematics ◽

10.1017/9781108709453.023 ◽

2021 ◽

pp. 639-656

Keyword(s):

Trigonometric Series

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Power Weight Integrability for Sums of Moduli of Blocks from Trigonometric Series

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543818090249 ◽

2018 ◽

Vol 303 (S1) ◽

pp. 223-230

Author(s):

V. P. Zastavnyi ◽

A. S. Levadnaya

Keyword(s):

Trigonometric Series ◽

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Summation of certain trigonometric series with logarithmic coefficients

The Journal of Analysis ◽

10.1007/s41478-021-00327-4 ◽

2021 ◽

Author(s):

Rufus Boyack

Keyword(s):

Trigonometric Series ◽

Logarithmic Coefficients

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Some integrability theorems of trigonometric series and monotone decreasing functions

Tohoku Mathematical Journal ◽

10.2748/tmj/1178244493 ◽

1960 ◽

Vol 12 (1) ◽

pp. 139-146 ◽

Author(s):

Satoru Igari

Keyword(s):

Trigonometric Series ◽

Decreasing Functions

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Use of trigonometric series for solution of the Schrödinger equation for bending vibrations in triatomic molecules

Molecular Physics ◽

10.1080/00268978600102741 ◽

1986 ◽

Vol 59 (6) ◽

pp. 1283-1303 ◽

Author(s):

Miljenko Perić ◽

Robert J. Buenker ◽

Sigrid D. Peyerimhoff

Keyword(s):

Schrödinger Equation ◽

Trigonometric Series ◽

Schrodinger Equation ◽

Bending Vibrations ◽

Triatomic Molecules

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