Estimations of the Integral of Modulus for a Mixed Derivative of the Sum of Double Trigonometric Series

Hembarska S. B.; Zaderei P. V.

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Estimations of the Integral of Modulus for a Mixed Derivative of the Sum of Double Trigonometric Series

机译：双三角级数和的混合导数的模积分估计

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摘要

For functions of two variables defined by trigonometric series with quasiconvex coefficients, we estimate their variations in the Hardy-Vitali sense.

机译：对于由具有准凸系数的三角序列定义的两个变量的函数，我们估计其在Hardy-Vitali意义上的变化。

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《Ukrainian mathematical journal》 |2016年第7期|共15页
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Hembarska S. B.; Zaderei P. V.;
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正文语种 eng
中图分类数学;
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1. Estimations of the Integral of Modulus for a Mixed Derivative of the Sum of Double Trigonometric Series [J] . Hembarska S. B., Zaderei P. V. Ukrainian mathematical journal . 2016,第7期

机译：双三角级数和的混合导数的模积分估计
2. Equiconvergence of expansions in multiple trigonometric Fourier series and integrals in the case of a lacunary sequence of partial sums [J] . Bloshanskii I.L., Grafov D.A. Doklady. Mathematics . 2013,第3期

机译：在部分和的底数序列的情况下，多个三角傅立叶级数和积分的展开的等收敛性
3. Integrals and summable trigonometric series [J] . James R. D. Bulletin of the American Mathematical Society . 1955,第1期

机译：积分和可积三角级数
4. Effect of Static Synchronous Series Compensator (SSSC) for Damping Oscillations in Automatic Generation Control with Cuckoo Search Optimised Integral Double Derivative Controller [C] . S. Sanajaoba Singh International Conference on Advances in Control and Optimization of Dynamical Systems . 2014

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5. Power series solutions of fractional differential equations and symbolic derivatives and integrals. [D] . Benghorbal, Mhenni M. 2004

机译：分数阶微分方程和符号导数与积分的幂级数解。
6. THE UNIQUENESS OF DOUBLE TRIGONOMETRIC SERIES UNDER CIRCULAR CONVERGENCE [O] . Victor L. Shapiro 1956

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7. Equiconvergence of expansions in multiple trigonometric Fourier series and Fourier integral with "Jk-lacunary sequences of rectangular partial sums" [O] . Igor L. Bloshanskii, Denis A. Grafov 2014

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Estimations of the Integral of Modulus for a Mixed Derivative of the Sum of Double Trigonometric Series

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