Approximation Properties of Certain Summation Integral Type Operators

Demonstratio mathematica

article

P. Patel¹  Vishnu Narayan Mishra¹ 

[1] DEPARTMENT OF APPLIED MATHEMATICS & HUMANITIES SARDAR VALLABHBHAI NATIONAL INSTITUTE OF TECHNOLOGY;DEPARTMENT OF MATHEMATICS ST. XAVIER’S COLLEGE;L. 1627 AWADH PURI COLONY BENIGANJ PHASE -III, OPPOSITE – INDUSTRIAL TRAINING INSTITUTE (I. T. I.)

关键词: Bernstein polynomial;    Baskakov operators;    direct results;    asymptotic formula;    rate of convergence;    weighted approximation theorem;    inverse theorem;    better approximation;   

DOI  :  10.1515/dema-2015-0008

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In the present paper, we study approximation properties of a family of linear positive operators and establish direct results, asymptotic formula, rate of convergence, weighted approximation theorem, inverse theorem and better approximation for this family of linear positive operators.

【 授权许可】

CC BY