Applications of statistical Riemann and Lebesgue integrability of sequence of functions

The Journal of Nonlinear Sciences and its Applications

article

K. Raj¹  S. Sharma¹ 

[1]School of Mathematics, Shri Mata Vaishno Devi University

关键词: Statistical convergence;    Riemann integral;    Lebesgue integral;    deferred Riesz;    deferred Nörlund mean;    Korovkin-type approximation theorem;   

DOI  :  10.22436/jnsa.016.01.03

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In the present work, we propose to investigate statistical Riemann integrability, statistical Riemann summability, statistical Lebesgue integrability and statistical Lebesgue summability by means of deferred Nörlund and deferred Riesz mean. We discuss some fundamental theorems connecting these concepts with examples. As an application to our newly formed sequences, we introduce Korovkin-type approximation theorems with relevant example for positive linear operators by using Meyer-König and Zeller operators to exhibit the effectiveness of our findings.

【 授权许可】

Unknown