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    A unified presentation of some families of multivariable polynomials
    (2006) Erkuş, Esra; Srivastava, H.M.
    In this paper, we present a systematic investigation of a unification (and generalization) of the Chan-Chyan-Srivastava multivariable polynomials and the multivariable extension of the familiar Lagrange-Hermite polynomials. We derive various classes of multilinear and mixed multilateral generating functions for these unified polynomials. We also discuss other miscellaneous properties of these general families of multivariable polynomials.
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    Öğe
    On a hybrid family of summation integral type operators
    (2006) Gupta, Vijay; Erkuş, Esra
    The present paper deals with the study of the mixed summation integral type operators having Szász and Baskakov basis functions in summation and integration respectively. Here we obtain the rate of point wise convergence, a Voronovskaja type asymptotic formula, an error estimate in simultaneous approximation. We also study some local direct results in terms of modulus of smoothness and modulus of continuity in ordinary and simultaneous approximation. © 2006 Victoria University. All rights reserved.