Direct and Inverse Results for Kantorovich Type Exponential Sampling Series

被引：25

作者：

Angamuthu, Sathish Kumar ^{[1
]}

Bajpeyi, Shivam ^{[1
]}

机构：

[1] Visvesvaraya Natl Inst Technol, Dept Math, Nagpur 440010, Maharashtra, India

来源：

RESULTS IN MATHEMATICS | 2020年 / 75卷 / 03期

关键词：

Kantorovich type exponential sampling series; pointwise convergence; logarithmic modulus of continuity; mellin transform; inverse result; INTEGRABLE FUNCTIONS; APPROXIMATION; OPERATORS; VARIANT; THEOREM;

D O I：

10.1007/s00025-020-01241-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we analyse the behaviour of the new family of Kantorovich type exponential sampling series. We derive the point-wise approximation theorem and Voronovskaya type theorem for the series(I-w(chi))(w>0). Further, we establish a representation formula and an inverse result of approximation for these operators. Finally, we give some examples of kernel functions to which the theory can be applied along with the graphical representation.

引用

页数：17