Approximation on bivariate parametric-extension of Baskakov-Durrmeyer-operators
Md. Nasiruzzaman, Nadeem Rao, Manish Kumar, Ravi Kumar
Abstract
The main purpose of this article is to study the bivariate approximation generalization for Baskakov-Durrmeyer-operators with the aid of non-negative parametric variants suppose 0 ? ?1,?2 ? 1. We obtain the order of approximation by use of the modulus of continuity in terms of well known Peetre?s K-functional, Voronovskaja type theorems and Lipschitz maximal functions. Further, we also discuss here the approximation properties of the operators in B?gel-spaces by use of mixed-modulus of continuity.
Topics & Concepts
MathematicsModulus of continuityBivariate analysisGeneralizationLipschitz continuityParametric statisticsExtension (predicate logic)Order (exchange)Type (biology)Mathematical analysisApplied mathematicsPure mathematicsStatisticsComputer scienceBiologyEcologyProgramming languageEconomicsFinanceApproximation Theory and Sequence Spaces