On statistical approximation properties of qq-Baskakov-Szasz-Stancu operators

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 convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established for operators.Comment: 12. arXiv admin note: text overlap with arXiv:1508.0529

α\alphaβ\beta-Statistical Convergence of Modified qq-Durrmeyer Operators

In this work, we investigate weighted $\alpha$$\beta$-Statistical approximation properties of $q$-Durrmeyer-Stancu operators. Also, give some corrections in limit of $q$-Durrmeyer-Stancu operators defined in \cite{mishra2013short} and discuss their convergence properties.Comment: 11 page

Error Bounds of Conjugate of a Periodic Signal by Almost Generalized N\"orlund Means

In this paper, we determine the error bounds of conjugate signals between input periodic signals and processed output signals, whenever signals belong to $Lip\, (\alpha ,\, r)$ -class and as a processor we have taken almost generalized N\"orlund means using head bounded variation sequences and rest bounded variation sequences. The results obtained in this paper further extend several known results on linear operators.Comment: 9 page

On q-analogue of modified Kantorovich-type discrete-Beta operators

The present paper deals with the Stancu type generalization of the Kantorovich discrete $q$-Beta operators. We establish some direct results, which include the asymptotic formula and error estimation in terms of the modulus of continuity and weighted approximation.Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:1508.0529

On Simultaneous Approximation of Modified Baskakov Durrmeyer Operators

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 asymptotic formula and an error estimation in terms of second order modification of continuity of the function for the operators $B_{n,\gamma}^{\alpha,\beta}(f,x)$.Comment: 14 pages, International Journal of Analysis,201

On (p, q) Baskakov-Durrmeyer-Stancu Operators

In the present paper, we introduce the generalized form of $(p,q)$ Baskakov-Durrmeyer Operators with Stancu type parameters. We derived the local and global approximation properties of these operators and obtained the convergence rate and behaviour for the Lipschitz functions. Moreover, we give comparisons and some illustrative graphics for the convergence of operators to some function.Comment: 9 pages, 1 figur

On Chlodowsky variant of (p,q) Kantorovich-Stancu-Schurer operators

In the present paper, we introduce the Chlodowsky variant of (p,q) Kantorovich-Stancu-Schurer operators on the unbounded domain which is a generalization of (p,q) Bernstein-Stancu-Kantorovich operators. We have also derived its Korovkin type approximation properties and its rate of convergence.Comment: arXiv admin note: substantial text overlap with arXiv:1508.0688

On Generalized Sz\'{a}sz-Mirakyan operators

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 Voronovskaya Asymptotic formula and statistical convergence

On approximation properties of Baskakov-Schurer-Szasz operators

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 convergence in certain weighted spaces is investigated. We study $q$-analogues of Baskakov-Schurer-Sz\'{a}sz operators and it's Stancu generalization. In the last section, we give better error estimations for the operators (\ref{eq2}) using King type approach and obtained weighted statistical approximation properties for operator (\ref{qb})Comment: 1

Rate of convergence of certain families of Jain operators of integral type

In the present paper, the authors introduce and investigate new sequences of positive linear operators which include some well known operators as special cases. Here we estimate the rate of convergence for functions having derivatives of bounded variation by families of Jain operators of integral type