Yazar "Gupta, Vijay" için listeleme
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Applications of (p,q)-gamma function to Szász Durrmeyer operators
Aral, Ali; Gupta, Vijay (Publications L Institut Mathematique Matematicki, 2017)We define a (p, q) analogue of Gamma function. As an application, we propose (p, q)-Szasz-Durrmeyer operators, estimate moments and establish some direct results. -
Approximation by q Baskakov Beta operators
Gupta, Vijay; Aral, Ali (Springer Heidelberg, 2011)In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, a). Then we obtain ... -
Bernstein durrmeyer operators based on two parameters
Gupta, Vijay; Aral, Ali (Univ Nis, 2016)In the present paper, we study the applications of the extension of quantum calculus based on two parameters. We define beta function and establish an identity with gamma function, for two parameters (p, q), ie. the ... -
Convergence of the q analogue of Szasz-Beta operators
Gupta, Vijay; Aral, Ali (Elsevier Science Inc, 2010)In the present paper we introduce the q analogue of the well known Szasz-Beta operators [11]. We also establish the approximation properties of these operators and estimate convergence results. In the end we propose an ... -
Direct Estimates for Lupas-Durrmeyer Operators
Aral, Ali; Gupta, Vijay (Univ Nis, Fac Sci Math, 2016)The generalization of the Bernstein polynomials based on Polya distribution was first considered by Stancu [14]. Very recently Gupta and Rassias [6] proposed the Durrmeyer type modification of the Lupas, operators and ... -
GENERALIZED BASKAKOV-BETA OPERATIONS
Gupta, Vijay; Aral, Ali (Rocky Mt Math Consortium, 2009)Very recently Wang [9] introduced the modified form of Baskakov-beta operators and obtained a Voronov-skaja type asymptotic formula for these operators. We extend the study and here we estimate a direct result in terms of ... -
Generalized q-Baskakov operators
Aral, Ali; Gupta, Vijay (Walter De Gruyter Gmbh, 2011)In the present paper we propose a generalization of the Baskakov operators, based on q integers. We also estimate the rate of convergence in the weighted norm. In the last section, we study some shape preserving properties ... -
A note on Baskakov-Kantorovich type operators preservinge(-x)
Yilmaz, Ovgu Gurel; Gupta, Vijay; Aral, Ali (WILEY, 2020)In this paper, we give a generalization of the Baskakov-Kantorovich type operators that reproduce functionse(0)ande(-x). We discuss uniform convergence of this generalization by means of the modulus of continuity and ... -
Note on Szasz-Mirakyan-Durrmeyer Operators Preserving e(2ax), a > 0
Deniz, Emre; Aral, Ali; Gupta, Vijay (Taylor & Francis Inc, 2018)In the current article, we study Szasz-Mirakyan-Durrmeyer operators which reproduces constant and e(2ax), a > 0 functions. We discuss a uniform estimate and estimate a quantitative asymptotic formula for the modified operators. -
A note on Szasz-Mirakyan-Kantorovich type operators preserving e(-x)
Gupta, Vijay; Aral, Ali (Springer, 2018)In the present article, we study modified form of Szasz-Mirakyan-Kantorovich operators, which reproduce constant and functions. We discuss a uniform convergence result along with a quantitative estimate for the modified operators. -
On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
Acar, Tuncer; Aral, Ali; Gupta, Vijay (Walter De Gruyter Gmbh, 2015)The present paper deals with a new type of Bernstein-Durrmeyer operators on mobile interval. First, we represent the operators in terms of hypergeometric series. We also establish local and global approximation results for ... -
On the Durrmeyer type modification of the q-Baskakov type operators
Aral, Ali; Gupta, Vijay (Pergamon-Elsevier Science Ltd, 2010)This paper deals with Durrmeyer type generalization of q-Baskakov type operators using the concept of q-integral, which introduces a new sequence of positive q-integral operators. We show that this sequence is an approximation ... -
On the modification of the Szasz-Durrmeyer operators
Aral, Ali; Deniz, Emre; Gupta, Vijay (Walter De Gruyter Gmbh, 2016)In this paper we consider the modification of Szasz-Durrmeyer operators based on the Jain basis function. Voronovskaya-type estimates of point-wise convergence along with its quantitative version based on the weighted ... -
On the q analogue of Stancu-Beta operators
Aral, Ali; Gupta, Vijay (Pergamon-Elsevier Science Ltd, 2012)In the present work we introduce the q analogue of well known Stancu-Beta operators. We estimate moments and establish direct results in terms of the modulus of continuity. We also present an asymptotic formula. (C) 2011 ... -
(p, q)-Type Beta Functions Of Second Kind
Aral, Ali; Gupta, Vijay (Tusi Mathematical Research Group, 2016)In the present article, we propose the (p, q)-variant of beta function of second kind and establish a relation between the generalized beta and gamma functions using some identities of the post-quantum calculus. As an ... -
(p, q)-Variant of Szasz-Beta operators
Aral, Ali; Gupta, Vijay (Springer-Verlag Italia Srl, 2017)In the present paper, we introduce certain (p, q) analogue of the Szasz-Beta operators using (p, q)-variant of Beta function of second kind. We present direct theorem in weighted spaces in terms of suitable weighted modulus ... -
The q-derivative and applications to q-Szasz Mirakyan operators
Aral, Ali; Gupta, Vijay (Springer, 2006)By using the properties of the q-derivative, we show that q-Szasz Mirakyan operators are convex, if the function involved is convex, generalizing well-known results for q = 1. We also show that q-derivatives of these ... -
Some approximation properties of q-Baskakov-Durrmeyer operators
Gupta, Vijay; Aral, Ali (Elsevier Science Inc, 2011)Very recently Aral and Gupta [1] introduced q analogue of Baskakov-Durrmeyer operators. In the present paper we extend the studies, we establish the recurrence relations for the central moments and obtain an asymptotic ... -
Voronovskaja's theorem for functions with exponential growth
Tachev, Gancho; Gupta, Vijay; Aral, Ali (WALTER DE GRUYTER GMBH, 2020)In the present paper we establish a general form of Voronovskaja's theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. ...