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On the approximation by Chlodowsky type generalization of (p, q)-Bernstein operators
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نویسنده
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ansari khursheed j. ,karaisa ali
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منبع
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international journal of nonlinear analysis and applications - 2017 - دوره : 8 - شماره : 2 - صفحه:181 -200
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چکیده
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In the present article, we introduce chlodowsky variant of (p; q)-bernstein operators and compute the moments for these operators which are used in proving our main results. further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function f belongs to the class lipm(α). moreover, we also discuss convergence and rate of approximation in weighted spaces and weighted statistical approximation properties of the sequence of positive linear operators defined by us.
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کلیدواژه
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(p; q)-integers; Bernstein operators; positive linear operators; Korovkin type approximation theorem; statistical approximation
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آدرس
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king khalid university, college of science, department of mathematics, Saudi Arabia, necmettin erbakan university, meram campus, faculty of sciences, department of mathematics-computer sciences, Turkey
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پست الکترونیکی
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akaraisa@konya.edu.tr
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Authors
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