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Related papers: Approximation by Modified Jain-Baskakov Operators

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The present paper deals with a generalization of the Baskakov operators. Some direct theorems, asymptotic formula and $A$-statistical convergence are established. Our results are based on a $\rho$ function. These results include the…

Classical Analysis and ODEs · Mathematics 2016-08-08 Prashantkumar Patel , Vishnu Narayan Mishra , Mediha Örkcü

In this paper, we describe two novel changes to the Baskakov-Durrmeyer operators that improve their approximation performance. These improvements are especially designed to produce higher rates of convergence, with orders of one or two.…

Numerical Analysis · Mathematics 2024-11-12 Jaspreet Kaur , Meenu Goyal

In this paper, we introduce generalized Baskakov Kantorovich Stancu type operators and investigate direct result, local approximation and weighted approximation properties of these operators. Modulus of continuity, second modulus of…

Numerical Analysis · Mathematics 2015-08-06 Abdul Wafi , Nadeem Rao

In this paper, we are dealing with a new type of Baskakov-Schurer-Szasz operators (\ref{eq1}). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the…

Functional Analysis · Mathematics 2015-08-24 Vishnu Narayan Mishra , Preeti Sharma

In the present paper, we consider Stancu type generalization of Baskakov-Sz\'{a}sz operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical…

Classical Analysis and ODEs · Mathematics 2018-10-19 Vishnu Narayan Mishra , Preeti Sharma Joshi , Lakshmi Narayan Mishra

In this present manuscript, we discuss properties of modified Baskakov-Durrmeyer-Stancu (BDS) operators with parameter $\gamma>0$. We compute the moments of these modified operators. Also, establish point-wise convergence, Voronovskaja type…

Classical Analysis and ODEs · Mathematics 2015-09-15 Prashantkumar Patel , Vishnu Narayan Mishra

A new Goodman-Sharma modification of the Baskakov operator is presented for approximation of bounded and continuous on $[0,\,\infty)$ functions. In our study on the approximation error of the proposed operator we prove direct and strong…

Classical Analysis and ODEs · Mathematics 2024-12-09 Ivan Gadjev , Parvan Parvanov , Rumen Uluchev

In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical…

Classical Analysis and ODEs · Mathematics 2015-08-28 Vishnu Narayan Mishra , Preeti Sharma , Adem Kilicman , Dilip Jain

In the present article, we propose the new class positive linear operators, which discrete type depending on a real parameters. These operators are similar to Jain operators but its approximation properties are different then Jain…

Classical Analysis and ODEs · Mathematics 2019-04-19 Prashantkumar Patel

In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally,…

Classical Analysis and ODEs · Mathematics 2015-09-09 P. N. Agrawal , Meenu Goyal

In the present note, we give the generalization of $\alpha-$Baskakov Durrmeyer operators depending on a real parameter $\rho$ > 0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of…

Classical Analysis and ODEs · Mathematics 2020-12-29 Jaspreet Kaur , Meenu Goyal

In the present paper, we construct and investigate a variant of modified $(p,q)$-Baskakov operators, which reproduce the test function $x^2$. The order of approximation of the operators via K-functional and second order, usual modulus of…

Classical Analysis and ODEs · Mathematics 2016-03-23 Shikha Pandey , Vishnu Narayan Mishra , L N Mishra

In this paper, we give an interesting generalization of the Stancu type Baskakov-Kantorovich operators based on the q-integers and investigate their approximation properties. Also, we obtain the estimates for the rate of convergence for a…

Functional Analysis · Mathematics 2011-02-15 Cigdem Atakut , Ibrahim Buyukyazici

In the present article we define the Jain type modification of the generalized Szasz-Mirakjan operators that preserve constant and exponential mappings. Moments, recurrence formulas, and other identities are established for these operators.…

Classical Analysis and ODEs · Mathematics 2018-05-21 G. C. Greubel

Using maximum instead of sum, nonlinear Baskakov operator of maximum product kind is introduced by Bede et al. The present paper deals with the approximation processes for this operator. Especially in , it was indicated that the order of…

Functional Analysis · Mathematics 2023-07-19 Sezin Çit , Ogün Doğru

In the present paper, we introduce Stancu-variant of generalized Baskakov operators and study the rate of convergence using modulus of continuity, order of approximation for the derivative of function f . Direct estimate is proved using…

Numerical Analysis · Mathematics 2015-08-06 Nadeem Rao , Abdul Wafi

In the present paper, we consider $(p,q)$-analogue of the Baskakov-Beta operators and using it, we estimate some direct results on approximation. Also, we represent the convergence of these operators graphically using MATLAB.

Classical Analysis and ODEs · Mathematics 2016-08-29 Neha Malik , Vijay Gupta

In this paper, we firstly introduce nonlinear truncated Baskakov operators on compact intervals and obtain some direct theorems. Also, we give the approximation of fuzzy numbers by truncated nonlinear Baskakov operators.

General Mathematics · Mathematics 2023-12-04 Ecem Acar , Sevilay Kirci Serenbay , Saleem Yaseen Majeed Al Khalidy

This paper is in continuation of our work in \cite{PNM}, wherein we introduced generalized Baskakov Kantorovich operators $K_n^a(f;x)$ and established some approximation properties e.g. local approximation, weighted approximation,…

Classical Analysis and ODEs · Mathematics 2015-05-25 Meenu Goyal , P. N. Agrawal

Baskakov operators and their inverses can be expressed as linear differential operators on polynomials. Recurrence relations are given for the computation of these coefficients. They allow the construction of the associated Baskakov…

Numerical Analysis · Mathematics 2013-10-21 Paul Sablonnière
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