Approximation of Functions of the Classes CβψHα by Linear Methods Summation of Their Fourier Series

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Axioms Pub Date : 2023-10-26 DOI:10.3390/axioms12111010

Yurii Kharkevych, Inna Kal’chuk

引用次数: 0

Abstract

In this paper, we considered arbitrary linear summation methods of Fourier series specified by a set of continuous functions dependent on the real parameter and established their approximation properties. We obtained asymptotic formulas for the exact upper bounds of the deviations of operators generated by λ-methods of Fourier series summation from the functions of the classes CβψHα under certain restrictions on the functions ψ.

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用线性方法逼近CβψHα类函数的傅里叶级数求和

本文研究了由一组依赖于实参数的连续函数指定的傅里叶级数的任意线性求和方法，并建立了它们的逼近性质。在函数ψ的一定限制下，我们得到了由CβψHα类函数的傅里叶级数求和λ方法生成的算子偏差的精确上界的渐近公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.