Gamma operators reproducing exponential functions

Abstract

Abstract The present paper deals with reconstruction of Gamma operators preserving some exponential functions and studies their approximation properties: uniform convergence, rate of convergence, asymptotic formula and saturation. The effectiveness of new operators compared to classical ones is presented in certain senses as well. The last section is devoted to numerical results which compare the effectiveness of new constructions of Gamma operators.

Keywords

• Gamma operator
• Uniform approximation
• Rate of convergence
• Exponential functions
• Numerical results