Some Korovkin-Type Approximation Theorems Associated with a Certain Deferred Weighted Statistical Riemann-Integrable Sequence of Functions
نویسندگان
چکیده
Here, in this article, we introduce and systematically investigate the ideas of deferred weighted statistical Riemann integrability summability for sequences functions. We begin by proving an inclusion theorem that establishes a relation between these two potentially useful concepts. also state prove Korovkin-type approximation theorems involving algebraic test functions using our proposed concepts methodologies. Furthermore, order to demonstrate usefulness findings, consider illustrative example sequence positive linear operators conjunction with familiar Bernstein polynomials. Finally, concluding section, propose some directions future research on topic, which are based upon core concept Lebesgue-measurable
منابع مشابه
Korovkin type approximation theorems in B-statistical sense
In this paper we consider the notion of A2 -statistical convergence for real double sequences which is an extension of the notion of AI -statistical convergence for real single sequences introduced by Savas, Das and Dutta. We primarily apply this new notion to prove a Korovkin type approximation theorem. In the last section, we study the rate of A2 -statistical convergence.
متن کاملFibonacci statistical convergence and Korovkin type approximation theorems
The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.
متن کاملGeneralization of Statistical Korovkin Theorems
The classical Korovkin theory enables us to approximate a function by means of positive linear operators (see, e.g., [1– 3]). In recent years, this theory has been quite improved by some efficient tools inmathematics such as the concept of statistical convergence from summability theory, the fuzzy logic theory, the complex functions theory, the theory of q-calculus, and the theory of fractional...
متن کاملA - Statistical extension of the Korovkin type approximation theorem
Let A = (a jn) be an infinite summability matrix. For a given sequence x := (xn), the A-transform of x, denoted by Ax := ((Ax) j), is given by (Ax) j = ∑n=1 a jnxn provided the series converges for each j ∈ N, the set of all natural numbers. We say that A is regular if limAx = L whenever limx = L [4]. Assume that A is a non-negative regular summability matrix. Then x = (xn) is said to be A-stat...
متن کاملKorovkin-Type Theorems in Weighted Lp-Spaces via Summation Process
Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted Lp spaces, 1 ≤ p < ∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these types of approximation theorems by means of A-summability which is a stronger convergence method than ...
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: Axioms
سال: 2022
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms11030128