Results 11 to 20 of about 6,839,663 (111)

q‐Voronovskaya type theorems for q‐Baskakov operators

Mathematical Methods in the Applied Sciences, 2015
In the present paper, we prove quantitative q‐Voronovskaya type theorems for q‐Baskakov operators in terms of weighted modulus of continuity. We also present a new form of Voronovskaya theorem, that is, q‐Grüss‐Voronovskaya type theorem for q‐Baskakov operators in quantitative mean.
Ulusoy, Gulsum, Acar, Tuncer
openaire   +4 more sources

A Voronovskaya-type theorem [PDF]

Journal of Numerical Analysis and Approximation Theory, 2001
We give an asymptotic estimation for some sequences of divided differences. We use this estimation to obtain a Voronovskaya-type formula involving linear positive operators.
Mircea Ivan, Ioan Raşa
openaire   +5 more sources

A Voronovskaya‐type theorem for a positive linear operator [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
We consider a sequence of positive linear operators which approximates continuous functions having exponential growth at infinity.
Alexandra Ciupa
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A Voronovskaya Type Theorem for Poisson–Cauchy Type singular operators [PDF]

Journal of Mathematical Analysis and Applications, 2010
The paper deals with the study of approximation properties of smooth Poisson-Cauchy type singular integral operators over the real line. A Voronovskaya type asymptotic formula is also established.
Anastassiou, George A., Mezei, Razvan A.
openaire   +2 more sources

Statistical Korovkin and Voronovskaya type theorem for the Cesaro second-order operator of fuzzy numbers [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2020
In this paper we define the Ces\'aro second-order summability method for fuzzy numbers and prove Korovkin type theorem, then as the application of it, we prove the rate of convergence. In the last section, we prove the kind of Voronovskaya type theorem and give some concluding remarks related to the obtained results.
Naim L. Braha, Valdete Loku
openaire   +3 more sources

Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators

Journal of Mathematics
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation ...
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine   +2 more
doaj   +2 more sources

A Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators [PDF]

Journal of Numerical Analysis and Approximation Theory, 2011
In this work, we consider a Kantorovich type generalization of \(q\)-Szász-Mirakyan operators via Riemann type \(q\)-integral and prove a Voronovskaya type theorem by using suitable machinery of \(q\)-calculus.
Gülen Başcanbaz-Tunca, Ayçegül Erençin   +1 more
openaire   +4 more sources

The Voronovskaya theorem for some operators of the Szasz-Mirakjan type

Le Matematiche, 1995
We give the Voronovskaya theorem for some operators  of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+infinity) and having the polynomial grouth at infinity. Some approximation properties of these operators are given in [2], [4].
Lucina Rempulska, Mariola Skorupka
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Approximation Properties of a Fractional Integral-Type Szász–Kantorovich–Stancu–Schurer Operator via Charlier Polynomials

Mathematics
The goal of this manuscript is to introduce a new Stancu generalization of the modified Szász–Kantorovich operator connecting Riemann–Liouville fractional operators via Charlier polynomials.
Nadeem Rao, Mohammad Farid, Nand Kishor Jha   +2 more
doaj   +2 more sources

A Voronovskaya-type theorem for a certain nonlinear Bernstein operators [PDF]

, 2015
The present paper concerns with the nonlinear Bernstein operators NBnf of the form (NB(n)f)(x) = Sigma(n)(k=0) P-n,P-k (x, f (k/n)), 0
Karslı, Harun, Altın, Hüseyin Erhan
openaire   +2 more sources