Approximation of functions of two variables by certain linear positive operators |
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| Authors: | Fatma Ta?delen Ali Olgun Gülen Ba?canbaz-Tunca |
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| Institution: | (1) Department of Mathematics, Faculty of Science, Ankara University, Tandogan, 06100 Ankara, Turkey;(2) Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahşihan, 71450 Kirikkale, Turkey |
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| Abstract: | We introduce certain linear positive operators and study some approximation properties of these operators in the space of
functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of
continuity. Moreover we define an rth order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence
of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using
weighted modulus of continuity. |
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| Keywords: | Linear positive operator modulus of continuity order of approximation polynomial weighted spaces |
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