Results 31 to 40 of about 491,506 (127)
Direct Estimate for Some Operators of Durrmeyer Type in Exponential Weighted Space
Demonstratio Mathematica, 2014 In the present paper, we investigate the convergence and the approximation order of some Durrmeyer type operators in exponential weighted space. Furthermore, we obtain the Voronovskaya type theorem for these operators.
Krech Grażyna, Wachnicki Eugeniusz
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Journal of Function Spaces, 2021 In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function.
Abdullah Alotaibi
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Degree of Approximation by Hybrid Operators
Abstract and Applied Analysis, 2013 We consider hybrid (Szász-beta) operators, which are a general sequence of integral type operators including beta function, and we give the degree of approximation by these Szász-beta-Durrmeyer operators.
Naokant Deo, Hee Sun Jung, Ryozi Sakai
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Advances in Difference Equations, 2021 In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] $[0,1]$ as well as ρ > 0 $\rho >0$ and study some useful basic properties of the operators.
Abdullah Alotaibi +3 more
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Local smoothness of functions and Bernstein-Durrmeyer operators [PDF]
, 1995 Continuous functions satisfying a local Lipschitz condition of order α(0 < α < 1) on any subset of [0, 1] are characterized by the local rate of convergence of Bernstein-Durrmeyer operators. As an application, we give an algorithm for singular detection.
Zhou, D.-X., Gonska, H.H.
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Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1
Abstract and Applied Analysis, 2014 This paper deals with approximating properties of the newly defined q-generalization of the genuine Bernstein-Durrmeyer polynomials in the case q>1, which are no longer positive linear operators on C0,1.
Nazim I. Mahmudov
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Stancu Type Baskakov—Durrmeyer Operators and Approximation Properties
Mathematics, 2020 In this article, we introduce Stancu type generalization of Baskakov–Durrmeyer operators by using inverse Pólya–Eggenberger distribution. We discuss some basic results and approximation properties. Moreover, we study the statistical convergence for these
Adem Kilicman +2 more
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Approximation properties for modified $(p,q)$-Bernstein-Durrmeyer operators [PDF]
Mathematica Bohemica, 2018 We introduce modified $(p,q)$-Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity.
Mohammad Mursaleen, Ahmed A. H. Alabied
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Journal of Numerical Analysis and Approximation Theory, 2015 In this paper we present an overview of commutativity results and different methods for the proofs for Baskakov-Durrmeyer type operators and associated differential operators.
Margareta Heilmann
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Asymptotic Properties for a General Class of Szász–Mirakjan–Durrmeyer Operators
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 734-743, 30 January 2026.ABSTRACT In this paper, we introduce a general family of Szász–Mirakjan–Durrmeyer type operators depending on an integer parameter j∈ℤ$$ j\in \mathbb{Z} $$. They can be viewed as a generalization of the Szász–Mirakjan–Durrmeyer operators, Phillips operators, and corresponding Kantorovich modifications of higher order.
Ulrich Abel +3 more
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