Some Estimates in Approximation Theory Using Differences of Linear Positive Operators

Authors

  • Prerna Sharma Department of Basic Science, Sardar Vallabh Bhai Patel University of Agriculture and Technology, Meerut (UP), India.
  • Diwaker Sharma Modern Academy Group of Institutions, Modinagar, (U.P.), India.

DOI:

https://doi.org/10.9734/bpi/costr/v3/2978C

Keywords:

Difference of operators, linear positive operators, modulus of continuity, approximation theory, baskakov-operators

Abstract

In the present chapter we study about the approximation properties of differences of linear positive operators. Here we have discussed quantitative estimates for the differences of Baskakov operators with various variants of Baskakov operators like Baskakov with Baskakov-Szasz and Baskakov-Durrmeyer operators. Additionally, Baskakov-Szasz and Baskakov-Durrmeyer operators' distinct properties have been provided. Ultimately, we establish the quantitative estimate for these operators in terms of the weighted modulus of smoothness.

Published

2022-09-06

How to Cite

Prerna Sharma, & Diwaker Sharma. (2022). Some Estimates in Approximation Theory Using Differences of Linear Positive Operators. Current Overview on Science and Technology Research Vol. 3, 112–119. https://doi.org/10.9734/bpi/costr/v3/2978C

Issue

Current Overview on Science and Technology Research Vol. 3

Section

Chapters