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DOI：http://dx.doi.org/10.26855/jamc.2022.06.007

# Approximation by Differences on Some Mixed Summation-Integral Type Operators

Date: June 2,2022 |Hits: 182 Download PDF How to cite this paper

Prerna Sharma

Department of Basic Science, Sardar Vallabh Bhai Patel University of Agriculture and Technology, Meerut, Uttar Pradesh, India.

*Corresponding author: Prerna Sharma

### Abstract

This paper is the study of two different general linear positive operators defined on unbounded interval. Here we introduce a generalized family of the hybrid integral operators. The special cases of our operators include some well known integral operators. The main aim of the present note is to prevent the researchers to study individual operators, and by this form they can study the approximation properties of any linear positive operator by differences of other forms of the same operator. We obtain estimates for the difference of these operators namely Lupas operators in quantitative form. We study quantitative estimates for the difference of generalized Lupas-Szasz and generalized Lupas-Kantorovich operators. Finally, we obtain the quantitative estimate in terms of the weighted modulus of smoothness for these operators. Also, their mutual differences are possible, which are estimated in the present paper. Here, we obtain a new approach to find the moments using the concept of moment generating functions.

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### How to cite this paper

Approximation by Differences on Some Mixed Summation-Integral Type Operators

How to cite this paper:  Prerna Sharma. (2022) Approximation by Differences on Some Mixed Summation-Integral Type Operators. Journal of Applied Mathematics and Computation6(2), 230-234.

DOI: http://dx.doi.org/10.26855/jamc.2022.06.007