保持线性函数的修正(p,q)-算子的近似性质

IF 1.1 Q1 MATHEMATICS Journal of Nonlinear Functional Analysis Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.2

Jing Zhang, Wen-Tao Cheng, Feng-Lin Chen

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引用次数: 0

摘要

．本文在(p, q) -微积分的基础上，引入了一类修正的(p, q) -算子，该算子不仅保留常数函数，而且保留线性函数。然后建立了算子的矩，并讨论了算子的一些局部逼近定理。利用连续模研究了这些算子的收敛速度和加权逼近性。进一步研究了Voronovskaya型渐近公式。

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The approximation properties of modified (p,q)-Gamma operators preserving linear functions

. In this paper, we introduce a class of modiﬁed ( p , q ) -Gamma operators based on ( p , q ) -calculus that operators preserve not only constant functions but also linear functions. Then the moments of the operators are established and some local approximation theorems of these operators are discussed. Also, the rate of convergence and weighted approximation of these operators are studied by means of modulus of continuity. Furthermore, the Voronovskaya type asymptotic formula is investigated.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.