Two-Sided Estimates of the $$L^\infty$$-Norm of the Sum of a Sine Series with Monotone Coefficients $$\{b_k\}$$ via the $$\ell^\infty$$-Norm of the Sequence $$\{kb_k\}$$

Mathematical Notes ◽

10.1134/s0001434620090199 ◽

2020 ◽

Vol 108 (3-4) ◽

pp. 471-476

Author(s):

E. D. Alferova ◽

A. Yu. Popov

Keyword(s):

Sine Series ◽

Monotone Coefficients

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Estimates of the least positive root of the sum of a sine series with monotone coefficients

Mathematical Notes ◽

10.1134/s0001434614110145 ◽

2014 ◽

Vol 96 (5-6) ◽

pp. 753-766

Author(s):

A. Yu. Popov

Keyword(s):

Positive Root ◽

Sine Series ◽

Monotone Coefficients

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Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant

Moscow University Mathematics Bulletin ◽

10.3103/s0027132214040056 ◽

2014 ◽

Vol 69 (4) ◽

pp. 169-173 ◽

Author(s):

A. Yu. Popov ◽

A. P. Solodov

Keyword(s):

Lower Estimate ◽

Sine Series ◽

Monotone Coefficients ◽

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On the behavior near the origin of double sine series with monotone coefficients

Mathematica Bohemica ◽

10.21136/mb.2009.140660 ◽

2009 ◽

Vol 134 (3) ◽

pp. 255-273

Author(s):

Xhevat Z. Krasniqi

Keyword(s):

Sine Series ◽

Monotone Coefficients

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On Sine Series with Monotone Coefficients

Journal of the London Mathematical Society ◽

10.1112/jlms/s1-28.1.102 ◽

1953 ◽

Vol s1-28 (1) ◽

pp. 102-104 ◽

Author(s):

Philip Hartman ◽

Aurel Wintner

Keyword(s):

Sine Series ◽

Monotone Coefficients

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Estimates of mixed norms of functions representable by double sine series with multiple-monotone coefficients

Moscow University Mathematics Bulletin ◽

10.3103/s0027132213060016 ◽

2013 ◽

Vol 68 (6) ◽

pp. 263-269

Author(s):

T. M. Vukolova

Keyword(s):

Sine Series ◽

Mixed Norms ◽

Monotone Coefficients

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Estimates of the Sums of Sine Series with Monotone Coefficients of Certain Classes

Mathematical Notes ◽

10.1023/b:matn.0000009019.66625.fb ◽

2003 ◽

Vol 74 (5/6) ◽

pp. 829-840 ◽

Author(s):

A. Yu. Popov

Keyword(s):

Sine Series ◽

Monotone Coefficients

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Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients

Mathematical Notes ◽

10.1134/s0001434621050126 ◽

2021 ◽

Vol 109 (5-6) ◽

pp. 808-818

Author(s):

A. Yu. Popov

Keyword(s):

Sine Series ◽

Cosine Series ◽

Monotone Coefficients

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On the uniform convergence of double sine series with generalized monotone coefficients

Periodica Mathematica Hungarica ◽

10.1007/s10998-011-8205-y ◽

2011 ◽

Vol 63 (2) ◽

pp. 205-214 ◽

Author(s):

Péter Kórus

Keyword(s):

Uniform Convergence ◽

Sine Series ◽

Monotone Coefficients

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Estimates with Sharp Constants of the Sums of Sine Series with Monotone Coefficients of Certain Classes in Terms of the Salem Majorant

Mathematical Notes ◽

10.1134/s0001434618110111 ◽

2018 ◽

Vol 104 (5-6) ◽

pp. 702-711

Author(s):

A. Yu. Popov ◽

A. P. Solodov

Keyword(s):

Sine Series ◽

Sharp Constants ◽

Monotone Coefficients

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The Measure of the Set of Zeros of the Sum of a Nondegenerate Sine Series with Monotone Coefficients in the Closed Interval [0, π]

Mathematical Notes ◽

10.1134/s000143461803029x ◽

2018 ◽

Vol 103 (3-4) ◽

pp. 621-625 ◽

Author(s):

K. A. Oganesyan

Keyword(s):

Closed Interval ◽

Sine Series ◽

Monotone Coefficients

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