Open AccessIntegral modification of Apostol-Genocchi operators
Author(s) -
N Neha,
Naokant Deo
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2108533n
Subject(s) - mathematics , lipschitz continuity , modulus of continuity , rate of convergence , approximation error , convergence (economics) , pure mathematics , mathematical analysis , type (biology) , ecology , channel (broadcasting) , economic growth , electrical engineering , economics , biology , engineering
In this article, we consider Jain-Durrmeyer operators associated with the Apostol-Genocchi polynomials and study the approximation properties of these Durrmeyer operators. Furthermore, we examine the approximation behaviour of these operators including K-functional. We estimate the rate of convergence of the proposed operators for function in Lipschitz-type space and local approximation results by using modulus of continuity. Employing Mathematica software, to show the approximation and the absolute error graphically by varying the values of given parameters.