arXiv subjects
Publications and source records attributed to Prashantkumar Patel.
This note aims to present novel positive linear operators involving the Wright function. Furthermore, the present research established the moments of these newly defined operators and estimated the convergence rate using the classical modulus of continuity. Additionally, the convergence rate in the Lipschitz spaces, their A-statistical convergence property, and $({\lambda}, {\gamma})$-statistical convergence properties have been covered.
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 operators. Theorems of degree of approximation, direct results, Voronovskaya Asymptotic formula and statistical convergence are discussed.
In this present manuscript, we discuss properties of modified Baskakov-Durrmeyer-Stancu (BDS) operators with parameter $γ>0$. 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 $B_{n,γ}^{α,β}(f,x)$.
In the manuscript, Voronovskaja type asymptotic formula for function having $q$-derivative of $q$-Durrmeyer operators and $q$-Durrmeyer-Stancu operators are discussed.
In this work, we investigate weighted $α$$β$-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.
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 $ρ$ function. These results include the preservation properties of the classical Baskakov operators.
In the present article, we propose the generalization of Szász-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.
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.
We introduce certain modified Szász-Mirakyan operators in polynomial weighted spaces of functions of one variable. We studied approximation properties of these operators.