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The main purpose of this paper is to determine the approximations of Durrmeyer modification of Szasz-Mirakjan operators, defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8(4):297-305). We estimate the order of approximation of the…

Functional Analysis · Mathematics 2020-02-14 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In the present article, we propose the generalization of Sz\'{a}sz-Mirakyan operators, which is a class of linear positive operators of discrete type depending on a real parameters. We give theorem of degree of approximation, the…

Classical Analysis and ODEs · Mathematics 2015-09-01 Prashantkumar Patel , Vishnu Narayan Mishra

In this paper, bivariate Szasz-Mirakjan type operators are introduced along with the estimation of its approximation properties and its rate of convergence. Furthermore, to check the asymptotic behavior of the said bivariate operators, the…

Numerical Analysis · Mathematics 2019-11-21 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

his paper deals with approximating properties of the newly defined $q$-generalization of the Sz\'{a}sz operators in the case $q>1$. Quantitative estimates of the convergence in the polynomial weighted spaces and the Voronovskaja's theorem…

Functional Analysis · Mathematics 2010-05-24 Nazim I. Mahmudov

In this paper, we construct a linear positive operators q-parametric Szasz-Mirakjan operators generated by the q-Dunkl generalization of the exponential function. We obtain Korovkin's type approximation theorem for these operators and…

Classical Analysis and ODEs · Mathematics 2015-11-23 M. Mursaleen , Md. Nasiruzzaman

In the present article, we deal with the overconvergence of the Sz?asz-Durrmeyer-Chlodowsky operators. Here we study the approximation properties e.g. upper estimates, Voronovskaja type result for these operators attached to analytic…

Classical Analysis and ODEs · Mathematics 2016-05-19 Meenu Goyal , P. N. Agrawal

In this paper multivariate extension of the generalized Durrmeyer sampling type series are considered. We establish a Voronovskaja type formula and a quantitative version. Finally some particular examples are discussed.

Functional Analysis · Mathematics 2016-05-25 Carlo Bardaro , Ilaria Mantellini

In this paper, we investigate the approximation properties of the summation-integral type operators as defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8:297-305) and determine the local results as well as prove the convergence…

Functional Analysis · Mathematics 2020-02-25 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In this article we present the Durrmeyer variant of generalized Bernstein operators that preserve the constant functions involving non-negative parameter ?. We derive the approximation behaviour of these operators including global…

Classical Analysis and ODEs · Mathematics 2018-08-07 Arun Kajla , Meenu Goyal

In this article, we analyze the approximation properties of the new family of Durrmeyer type exponential sampling operators. We derive the point-wise and uniform approximation theorem and Voronovskaya type theorem for these generalized…

Functional Analysis · Mathematics 2020-08-11 Shivam Bajpeyi , A. Sathish Kumar

The present article deals with the local approximation results by means of Lipschitz maximal function, Ditzian-Totik modulus of smoothness and Lipschitz type space having two parameters for the summation-integral type operators defined by…

Functional Analysis · Mathematics 2019-12-11 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In this article, the approximation properties of the Szasz-Mirakjan type operators are studied for the function of two variables, and the rate of convergence of the bivariate operators is determined in terms of total and partial modulus of…

Functional Analysis · Mathematics 2020-05-27 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In this paper, we deal with the complex Baskakov-Szasz-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth in the open disk of…

Classical Analysis and ODEs · Mathematics 2015-06-24 Sorin G. Gal , Vijay Gupta

In this paper, we introduce a new type of Szasz-Mirakjan operators, which preserve a^x, a > 1 fixed and x\geq 0. We study uniform convergence of the operators by using some auxiliary results and also error estimation is given. The…

Functional Analysis · Mathematics 2020-01-22 Rishikesh Yadav , Vishnu Narayan Mishra

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

The purpose of this article is to give a Chlodowsky type generalization of Szasz operators defined by means of the Sheffer type polynomials. We obtain convergence properties of our operators with the help of Korovkin's theorem and the order…

Classical Analysis and ODEs · Mathematics 2016-01-06 M. Mursaleen , Khursheed J. Ansari

In this paper we introduce a general family of Sz\'asz--Mirakjan--Durrmeyer type operators depending on an integer parameter $j \in \mathbb{Z}$. They can be viewed as a generalization of the Sz\'asz--Mirakjan--Durrmeyer operators [9],…

Classical Analysis and ODEs · Mathematics 2024-07-24 Ulrich Abel , Ana Maria Acu , Margareta Heilmann , Ioan Rasa

In the present article we define the Phillips type modification of the generalized Sz\'asz-Mirakjan operators. Moments, recurrence formulas, and other identities are established for these operators. Approximation properties are also…

Classical Analysis and ODEs · Mathematics 2017-09-05 Vijay Gupta , G. C. Greubel

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

In this paper, we introduce a modification of the Szasz-Mirakjan-Kantorovich operators as well as Stancu operators [9] (or a Dunkl generalization of modified Szasz-Mirakjan-Kantrovich operators [5]) which preserve the linear functions.…

Classical Analysis and ODEs · Mathematics 2016-04-06 M. Mursaleen , Md. Nasiruzzaman
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