Results 71 to 80 of about 336,700 (138)
Journal of Approximation Theory, 2014 In this paper, the authors have considered geometric series related to a large class of positive linear operators acting on a space of functions on the interval \([0, 1]\) and studied the convergence of the series in the case of sequences of admissible operators.
Ulrich Abel, Mircea Ivan, Radu Paltanea
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The rate of convergence of the poisson integrals for Hermite and Laguerre expansions and the Voronovskaya theorem [PDF]
, 2018 Bu çalışma dört bölümden oluşmaktadır. Birinci bölümde; bu konuda yapılan çalışmalar ve tezin genel amacı verilmiştir. İkinci bölümde; temel kavramlar ve teoremler üzerinde durulmuştur.
Çoban, Cemaynur
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Journal of Inequalities and ApplicationsIn this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su +3 more
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Geometric series of positive linear operators and inverse Voronovskaya theorem
, 2013 We define the associated geometric series for a large class of positive linear operators and study the convergence of the series in the case of sequences of admissible operators. We obtain an inverse Voronovskaya theorem and we apply our results to the Bernstein operators, the Bernstein-Durrmeyer-type operators, and the symmetrical version of Meyer ...
Abel, Ulrich +2 more
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Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
Filomat, 2019 We introduce the notion of ideally relative uniform convergence of sequences of real valued functions. We then apply this notion to prove Korovkin-type approximation theorem, and then construct an illustrative example by taking (p,q)-Bernstein operators which proves that our Korovkin theorem is stronger than its classical version as well as
Mohiuddine, S. A. +2 more
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Local Approximation Behavior of Modified Smk Operators
, 2010 In this paper, for a general modification of the classical Szasz-Mirakjan-Kantorovich operators, we obtain many local approximation results including the classical cases. In particular, we obtain a Korovkin theorem, a Voronovskaya theorem, and some local
Duman, Oktay, Özarslan, M. Ali
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Korovkin type approximation theorem for functions of two variables in statistical sense [PDF]
, 2010 In this paper, using the concept of A-statistical convergence for double sequences, we investigate a Korovkin-type approximation theorem for sequences of positive linear operator on the space of all continuous real valued functions defined on any compact
Demirci, Kamil +3 more
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Local Approximation Properties of Modified Baskakov Operators
, 2010 In this paper, we introduce a general modification of the classical Baskakov operators which do not need to preserve the test function x (2). Then, we study an approximation theorem, a Voronovskaya theorem, and various local approximation results for our
Duman, Oktay +6 more
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Convergence Theorems for Derivatives of a New Baskakov -Type Operators
Wasit Journal for Pure SciencesThe motive of this paper is to introduce and investigate the derivatives of some Baskakov operators. Firstly, we treated with the convergence theorems on some certain type of Baskakov operators and then we found the derivative of these operators.
Haneen Jaafar, haneen jaafar
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Approximation properties of certain modified Szasz-Mirakyan operators [PDF]
, 2001 We introduce certain modified Szasz - Mirakyan operators in exponential weighted spaces of functions of one variable.
Rempulska, Lucyna, Walczak, Zbigniew
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