A Short Note on Approximation Properties of Modified Post-Widder Operators Preserving Exponential Function
Prerna Sharma *
Department of Mathematics, Sardar Vallabh Bhai Patel University of Agriculture and Technology, Meerut (Uttar Pradesh), India.
*Author to whom correspondence should be addressed.
Abstract
In the present article, a modified form of Post-Widder operators is introduced which preserve the test function eAx . We discuss the weighted approximation properties for the modified operators and after that, we also investigate direct quantitative estimate for these modified operators. Moments with limiting properties are also established.
Keywords: Post-widder operators, linear positive operators, weighted approximation, quantitative estimate