Now showing items 1-10 of 19
Summability methods in weighted approximation to derivatives of functions
(Bulgarian Academy of Sciences Institute of Mathematics and Informatics, 2015-04)
In this paper, we use summability methods on the approximation to derivatives of functions by a family of linear operators acting on weighted spaces. This point of view enables us to overcome the lack of ordinary convergence ...
Summability Process by Mastroianni Operators and Their Generalizations
(Birkhauser Verlag AG, 2015-02)
In this paper, we prove a general Korovkin-type approximation theorem for the Mastroianni operators using a regular summability process with non-negative entries. We also obtain some useful estimates via the modulus of ...
A summability process on Baskakov-type approximation
The summability process introduced by Bell (Proc Am Math Soc 38: 548-552, 1973) is a more general and also weaker method than ordinary convergence. Recent studies have demonstrated that using this convergence in classical ...
Fundamental Properties of Statistical Convergence and Lacunary Statistical Convergence on Time Scales
(University of Nis, 2017)
In this paper, we first obtain a Tauberian condition for statistical convergence on time scales. We also find necessary and sufficient conditions for the equivalence of statistical convergence and lacunary statistical ...
Nonlinear Approximation: q-Bernstein Operators of Max-Product Kind
(Springer Verlag, 2016)
In this paper, we construct a certain family of nonlinear operators in order to approximate a function by these nonlinear operators. For construction, we use the linear q-Bernstein polynomials and also the max-product algebra.
Summation Process by Max-Product Operators
(Springer New York LLC, 2016)
In this study, we focus on the approximation to continuous functions by max-product operators in the sense of summation process. We also study error estimation corresponding to this approximation. At the end, we present ...
Nonlinear Bernstein-Type operators providing a better error estimation
(University of Miskolc, 2014)
In this paper, when approximating a continuos non-negative function on the unit interval, we present an alternative way to the classical Bernstein polynomials. Our new operators become nonlinear, however, for some classes ...
Summability process by singular operators
(Kossuth Lajos Tudomanyegyetem, 2014)
The aim of this paper is to obtain some approximation theorems for a sequence of singular operators that do not have to be positive in general. In the approximation, we mainly use a general matrix summability process ...
Singular approximation in polydiscs by summability process
In this paper, we approximate a continuous function in a polydisc by means of multivariate complex singular operators which preserve the analytic functions. In this singular approximation, we mainly use a regular summability ...
Generalization of statistical Korovkin theorems
(Hindawi Publishing, 2013-08)
We generalize and develop the Korovkin-type approximation theory by using an appropriate abstract space. We show that our approximation is more applicable than the classical one. At the end, we display some applications.