On the rate of convergence for certain summation-integration type operators

    Authors

    V. Gupta;R. N. Mohapatra

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Math. Inequal. Appl.

    Keywords

    rate of convergence; bounded variation; total variation; BOUNDED VARIATION; APPROXIMATION; Mathematics

    Abstract

    In the present paper, we study the certain summation integral type operators which includes the well known Baskakov-Durrmeyer and Szasz-Durrmeyer operators as special cases. We obtain the rate of convergence for functions of bounded variation, for these generalized sequences of linear positive operators together with the exact bounds for Baskakov basis functions and Szasz basis functions.

    Journal Title

    Mathematical Inequalities & Applications

    Volume

    9

    Issue/Number

    3

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    465

    Last Page

    472

    WOS Identifier

    WOS:000239398500009

    ISSN

    1331-4343

    Share

    COinS