Abstract

Bernstein operator of rough $I-$ core of triple sequences

Highlights

  • The notion of rough convergence has firstly been presented by Phu [10,11,12] in finite dimensional normed spaces

  • The author illustrated that this set LI Mxr is closed, convex and bounded; and he at the same time proposed the concept about the rough Cauchy sequence

  • The author again examined the connections among rough convergence and the other types of convergence and the dependence for LI Mxr on the roughness having degree of r

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Summary

Introduction

The notion of rough convergence has firstly been presented by Phu [10,11,12] in finite dimensional normed spaces. It is said that a triple sequence of Bernstein-Stancu polynomials S rst,p,q ( f, x) in a metric space (X, |., .|) and r ≥ 0 be a real number is r-convergent to ( f, x), denoted by S rst,p,q ( f, x) →r ( f, x), if for any

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