Results 31 to 40 of about 492,264 (157)
Convergence of linking Baskakov-type operators [PDF]
AbstractIn this paper we consider a link $$B_{n,\rho }$$Bn,ρ between Baskakov type operators $$B_{n,\infty }$$Bn,∞ and genuine Baskakov–Durrmeyer type operators $$ B_{n,1}$$Bn,1 depending on a positive real parameter $$\rho $$ρ. The topic of the present paper is the pointwise limit relation $$\left( B_{n,\rho }f\right) \left( x\right) \rightarrow \left(
Ulrich Abel +2 more
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Approximation by modified Jain–Baskakov operators [PDF]
Abstract In the present paper, we discuss the approximation properties of Jain–Baskakov operators with parameter c. The paper deals with the modified forms of the Baskakov basis functions. Some direct results are established, which include the asymptotic formula, error estimation in terms of the modulus of continuity and weighted ...
Vishnu Narayan Mishra +2 more
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On the Rate of Convergence by Generalized Baskakov Operators [PDF]
We firstly construct generalized Baskakov operatorsVn,α,q(f;x)and their truncated sumBn,α,q(f;γn,x). Secondly, we study the pointwise convergence and the uniform convergence of the operatorsVn,α,q(f;x), respectively, and estimate that the rate of convergence by the operatorsVn,α,q(f;x)is1/nq/2.
Yi Gao, W. Wang, Shigang Yue
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Stancu Type Baskakov—Durrmeyer Operators and Approximation Properties
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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On $q$-Baskakov-Mastroianni operators
A general class of positive linear operators was defined by V. A. Baskakov and investigated by G. Mastroianni: see, e.g., Sections 5.2 and 5.3 in the monograph by \textit{F. Altomare} and \textit{M. Campiti} [Korovkin-type approximation theory and its applications. Berlin: Walter de Gruyter (1994; Zbl 0924.41001)].
Agratini, Octavian, Radu, Cristina
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Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator
We first give the unboundedness of multivariate Baskakov operators with the normal weighted norm. By introducing new norms, using the multivariate decomposition technique and the modulus of smoothness with Jacobi weight, the upper bound estimation of ...
Jianjun Wang, Haifeng Guo, Jia Jing
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Certain Generalized q-Operators
The applications of q-calculus in the approximation theory is a very interesting area of research in the recent years, several new q-operators were introduced and their behaviour were discussed by many researchers.
Prakash Om +2 more
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A Parametric Generalization of the Baskakov-Schurer-Szász-Stancu Approximation Operators [PDF]
In this paper, we introduce and investigate a new class of the parametric generalization of the Baskakov-Schurer-Szász-Stancu operators, which considerably extends the well-known class of the classical Baskakov-Schurer-Szász-Stancu approximation ...
Naim Latif Braha +2 more
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APPROXIMATION PROPERTIES OF MODIFIED BASKAKOV GAMMA OPERATORS [PDF]
In this present paper, we study an approximation properties of modified Baskakov-Gamma operator. Using Korovkin type theorem we first give approximation properties of this operator. Secondly, we compute the rate of convergence of this operator by means of the modulus of continuity and we give an approximation properties of weighted spaces.
Arpagus, Seda, Olgun, Ali
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On multivariate Baskakov operator
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Cao, Feilong, Ding, Chunmei, Xu, Zongben
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