KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES
نویسندگان
چکیده
منابع مشابه
Wijsman Statistical Convergence of Double Sequences of Sets
In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and Wijsman statistical Cauchy double sequences of sets and investigate the relationship between them.
متن کاملGeneralized statistical summability of double sequences and Korovkin type approximation theorem
In this paper, we introduce the notion of statistical (λ, μ)-summability and find its relation with (λ, μ)-statistical convergence. We apply this new method to prove a Korovkin type approximation theorem for functions of two variables. Furthermore, we provide an example in support to show that our result is stronger than the previous ones.
متن کاملKorovkin Second Theorem via B-Statistical A-Summability
and Applied Analysis 3 f continuous on R. We know that C(R) is a Banach space with norm f ∞ := sup x∈R f (x) , f ∈ C (R) . (12) We denote by C 2π (R) the space of all 2π-periodic functions f ∈ C(R) which is a Banach space with f 2π = sup t∈R f (t) . (13) The classical Korovkin first and second theorems statewhatfollows [15, 16]: Theorem I. Let (T n ) be a sequence of p...
متن کاملLacunary Statistical Convergence of Difference Double Sequences
In this paper our purpose is to extend some results known in the literature for ordinary difference (single) to difference double sequences of real numbers.Quite recently, Esi [1] defined the statistical analogue for double difference sequences x = (xk,l) as follows: A real double sequence x = (xk,l) is said to be P-statistically ∆− convergent to L provided that for each ε > 0 P − lim m,n 1 mn ...
متن کاملGeneralized Statistical Convergence and Statistical Core of Double Sequences
In this paper we extend the notion of λ-statistical convergence to the (λ, μ)statistical convergence for double sequences x = (xjk). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences Sλ,μ.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Sakarya University Journal of Science
سال: 2018
ISSN: 1301-4048
DOI: 10.16984/saufenbilder.383770