Statistical Riemann and Lebesgue Integrable Sequence of Functions with Korovkin-Type Approximation Theorems

Statistical Riemann and Lebesgue Integrable Sequence of Functions with Korovkin-Type Approximation Theorems

In this work we introduce and investigate the ideas of statistical Riemann integrability, statistical Riemann summability, statistical Lebesgue integrability and statistical Lebesgue summability via deferred weighted mean. We first establish some fundamental limit theorems connecting these beautiful...

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Bibliographic Details
Main Authors: Hari Mohan Srivastava, Bidu Bhusan Jena, Susanta Kumar Paikray
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Axioms
Subjects:
riemann integral
lebesgue integral
statistical convergence
deferred weighted mean
banach space
positive linear operators
Online Access:https://www.mdpi.com/2075-1680/10/3/229

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