Now showing items 1-10 of 21
Solutions to conjectures on a nonlinear recursive equation
(Springer Science and Business Media Deutschland GmbH, 2020-10-01)
We obtain solutions to some conjectures about the onlinear difference equation xn+1=α+βxn−1e−xn,n=0,1,…,α,β'0. More precisely, we get not only a condition under which the equilibrium point of the above equation is globally ...
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.
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 ...
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 ...
Korovkin theorems on weighted spaces: revisited
In this note, using the idea of the late Professor Gadjiev (Mat Zametki 20(5):781-786, 1976), we give new, direct and easy proofs of the Korovkin theorems for positive linear operators acting on weighted spaces. Recent ...
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.
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 ...