Browsing by Author "Yurdakadim, Tuğba"
Now showing items 1-12 of 12
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Abstract Korovkin theory in modular spaces in the sense of power series method
Yurdakadim, Tuğba; Akbaş, Tuğana (2018)In this paper, using the power series method we obtain an abstract Korovkin type approximation theorem for a sequence of positive linear operators dened on modular spaces. -
Approximation by positive linear operators in modular spaces by power series method
Taş, Emre; Yurdakadim, Tuğba (Birkhauser Verlag AG, 2017)In the present paper, we study the problem of approximation to a function by means of positive linear operators in modular spaces in the sense of power series method. Indeed, in order to get stronger results than the ... -
Approximation to derivatives of functions by linear operators acting on weighted spaces by power series method
Taş, Emre; Yurdakadim, Tuğba (Springer New York LLC, 2016)In this chapter, using power series method we study some Korovkin type approximation theorems which deal with the problem of approximating a function by means of a sequence of linear operators acting on weighted spaces. © ... -
The Arzelà-Ascoli theorem by means of ideal convergence
Taş, Emre; Yurdakadim, Tuğba (De Gruyter, 2018)In this paper, using the concept of ideal convergence, which extends the idea of ordinary convergence and statistical convergence, we are concerned with the I-uniform convergence and the I-pointwise convergence of sequences ... -
Core Theorems in The Generalized Statistical Sense
Taş, Emre; Yurdakadim, Tuğba (2018)The main purpose of the paper is to give some results concerning with the generalized statistical core of a bounded sequence via B-statistical convergence where B = (Bi) is a sequence of infinite matrices. We characterize ... -
Inclusion results on statistical cluster points
Miller, Harry I.; Wieren, Leila Miller Van; Taş, Emre; Yurdakadim, Tuğba (Springer Netherlands, 2016)We study the concepts of statistical cluster points and statistical core of a sequence for Aλ methods defined by deleting some rows from a nonnegative regular matrix A. We also relate Aλ-statistical convergence to ... -
Korovkin type approximation theorems in weighted spaces via power series method
Taş, Emre; Yurdakadim, Tuğba; Girgin Atlıhan, Özlem (Element D.O.O., 2018)In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from ... -
Some inequalities between functionals related to generalized limits
Yurdakadim, Tuğba; Orhan, Cihan (Editura Academiei Romane, 2017)Recall that A-statistical core theorem determines a class of regular matrices for which lim sup(T x) ≤ stA − lim sup x for all x ∈ m. The main object of this paper is to study an inequality between functionals which is ... -
Some Korovkin type results via power series method in modular spaces
Yurdakadim, Tuğba (Ankara University, 2016)Abstract. In this paper, we obtain a Korovkin type approximation result for a sequence of positive linear operators deÖned on modular spaces with the use of power series method . We also provide an example which satisfies ... -
Some results concerning the summability of spliced sequences
Yurdakadim, Tuğba; Ünver, Mehmet (TUBİTAK, 2016)A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence. In this paper replacing convergent sequences by bounded sequences, we ... -
Some results for max-product operators via power series method
Yurdakadim, Tuğba; Taş, Emre (Univerzita Komenskeho, 2018)In this paper, we obtain an approximation theorem by max-product operators with the use of power series method which is more effective than ordinary convergence and includes both Abel and Borel methods. We also estimate ... -
Some results on uniform statistical cluster points
Yurdakadim, Tuğba; Miller-Van-Wieren, Leila (TUBİTAK, 2017)In this paper, we present some results linking the uniform statistical limit superior and inferior, almost convergence and uniform statistical convergence of a sequence. We also study the relationship between the set of ...
