Results 81 to 90 of about 229 (177)

On trigonometric approximation of functions in the Lq norm

Demonstratio Mathematica, 2018
In this paper we obtain a degree of approximation of functions in Lq by operators associated with their Fourier series using integral modulus of continuity. These results generalize many known results and are proved under less stringent conditions on the
Mohapatra Ram N., Szal Bogdan
doaj   +1 more source

Global smoothness preservation and simultaneous approximation by multivariate discrete operators: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

, 2016
In this article we study the multivariate generalized discrete singular operators defined on R N , N ≥ 1, regarding their simultaneus global smoothness preservation property with respect to Lp norm for 1 ≤ p ≤ ∞, by using higher order moduli of ...
KESTER, Merve, ANASTASSIOU, George A.
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The Lower Estimate for Bernstein Operator [PDF]

, 2013
MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Tachev, Gancho T., Gal, Sorin G.
core  

Generalized Szász-Mirakian Type Operators

In this paper, we are proposing certain modifications of Szász-Mirakian type operators and study their approximation properties. We also give a Voronovskaya type theorem for these operators.
GUPTA, Nandita, AGRAWAL, Raksha Rani
core   +1 more source

A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals [PDF]

, 2006
2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness.
Zapryanova, T.
core  

On Lupaș-Jain operators

, 2018
In this paper, linear positive Lupa¸s-Jain operators are constructed and a recurrence formula for the moments is given. For the sequence of these operators; the weighted uniform approximation, also, monotonicity under convexity are obtained.
BAȘCANBAZ-TUNCA, Gülen, BODUR, Murat, SÖYLEMEZ, Dilek   +2 more
core   +1 more source

Approximation of complex q-Beta-Baskakov-Szász-Stancu operators in compact disk

Demonstratio Mathematica
The purpose this study is to present and investigate the qq-Beta-Baskakov-Szasz-Stancu operator. The operators are accompanied by Voronovskaja-type consequences, which include both an exact approximation order and a quantitative assessment, specifically ...
Cheregi Larisa, Mursaleen Mohammad
doaj   +1 more source

Korovkin type theorem in the space $C_{b}[0,\infty)$: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

, 2016
A Korovkin type theorem is established in the space $C_{b}[0,\infty)$ of all continuous and bounded functions on $[0,\infty)$ for a sequence of positive linear operators, the approximation error being estimated with the aid of the usual modulus of ...
FINTA, Zoltán
core  

Stancu-durrmeyer type operators based on q-integers

, 2017
In this paper, we construct the Stancu-Durrmeyer-type modification of q-Bernstein operators by means of q-Jackson integral. Here, we establish moment estimates and some direct results which include basic convergence theorem, local approximation theorem ...
Araci, Serkan, N. Agrawal, P., Neer T., Araci S., Serkan Araci, Agrawal P.N., P. N. Agrawal, Neer, Trapti, TraptI Neer   +8 more
core   +1 more source

Quantitative results for the convergence of the iterates of some King type operators

, 2019
In this article we construct three q -King type operators which fix the functions e0 and e2 +αe1, α > 0. We study the rates of convergence for the iterates of these operators using the first and the second order modulus of continuity. We show that the
BIROU, Marius Mihai
core   +1 more source