Statistical (C,1) (E,1) summability and Korovkin’s theorem
نویسندگان
چکیده
منابع مشابه
Korovkin 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 کاملOn statistical A-summability
Let A = (ank)∞n,k=1 be an infinite matrix and x = (xk) ∞ k=1 a sequence of real or complex numbers. Then the A-transform of x is a sequence Ax = (An(x))where An(x) = ∑ ∞ k=1 ankxk provided that the series converges for each n; and the sequence x is said to be A-summable if Ax is convergent. In this paper we define statistical A-summability of x, that is, x is said to be statistically A-summable...
متن کاملSome Inequalities on Statistical Summability
We prove some inequalities related to the concepts of C1(st) -conservative matrices, C1(st) lim sup and C1(st) lim inf which are natural analogues of (c, st ∩ l∞) -matrices, st lim sup and st lim inf respectively.
متن کاملStatistical summability(C, 1) for sequences of fuzzy real numbers and a Tauberian theorem
Statistical convergence for sequences of fuzzy real numbers has been studied by various authors. In this paper we study the concept of statistical summability (C, 1) for fuzzy real numbers which for real numbers was introduced by Moricz [18]. We also construct some interesting examples. AMS Mathematical Subject Classification: 40A30, 40E05, 94D05
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 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: Filomat
سال: 2016
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1602387a