Rate of Convergence on Baskakov-beta-bezier Operators for Bounded Variation Functions
نویسنده
چکیده
by replacing the discrete value f(k/n) by the integral (n−1)∫∞ 0 pn,k(t)f (t)dt in order to approximate Lebesgue integrable functions on the interval [0,∞). Some approximation properties of the operators (1.1) were discussed in [6, 7, 8]. In [2, 3], the author defined another modification of the Baskakov operators with the weight functions of Beta operators so as to approximate Lebesgue integrable functions on [0,∞). For f ∈H[0,∞), Baskakov Beta operators are defined as
منابع مشابه
Rate of Convergence of Durrmeyer Type Baskakov-Bezier Operators for Locally Bounded Functions
In the present paper, we introduce the Durrmeyer variant of Baskakov-Bezier operators Bn,α(f, x), which is the modified form of Baskakov-Beta operators. Here we obtain an estimate on the rate of convergence of Bn,α(f, x) for functions of bounded variation in terms of Chanturiya’s modulus of variation. In the end we also propose an open problem for the readers.
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