Approximation by generalized Stancu type integral operators involving Sheffer polynomials
Keyword(s):
In this article, we give a generalization of integral operators which involves Sheffer polynomials introduced by Sucu and Buy¨ ukyazici. We obtain approximation properties of our operators with the help of the univer- ¨ sal Korovkin’s theorem and study convergence properties by using modulus of continuity, the second order modulus of smoothness and Peetre’s K-functional. We have also established Voronovskaja type asymptotic formula. Furthermore, we study the convergence of these operators in weighted spaces of functions on the positive semi-axis and estimate the approximation by using weighted modulus of continuity.
2017 ◽
Vol 10
(04)
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pp. 1750077
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2013 ◽
Vol 16
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pp. 388-397
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