Results 91 to 100 of about 1,372 (158)

Korovkin type theorems and approximate Hermite–Hadamard inequalities

Journal of Approximation Theory, 2012
Let \(X\) be a real linear space and let \(D \subset X\) be a convex subset. One can easily see that, for any constant \(\varepsilon \geq 0\), the \(\varepsilon\)-convexity of \(f\), i.e., the validity of \[ f(tx+(1-t)y)\leq t f(x) + (1-t) f(y) +\varepsilon \qquad (x,y\in D, \;t\in [0,1]), \] implies the following lower and upper \(\varepsilon ...
Makó, Judit, Páles, Zsolt
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A New Look on Korovkin Theorem

Mediterranean Journal of Mathematics
AbstractGiving a sequence $$P=(P_{n})_{n}$$ P = ( P n ...
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Korovkin Approximation Theorem with Ω Striped

Journal of Mathematics Research, 2017
In this paper, we discuss some theorem reached M. Mursaleen, there are several properties of statistical lacunary summability presented (Mursaleen, M. & Alotaibi,A., 2011; Mursaleen, M. &Alotaibi, A., 2011; Edely, O. H. & Mursaleen, M., 2009).
Al-Muhja, Malik Saad, Mursaleen, Mohammad, Misiran, Masnita, Omar, Zurni, Yang Khoo, Sui   +4 more
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A Korovkin Theorem for Abstract Lebesgue Spaces

Journal of Approximation Theory, 2000
Let \(E\) be an AL-space (a Kakutani abstract L-space) with a generalized weak unit \(\{e_n\}\). The theorem proved here is a little stronger then the following. Theorem: Let \(\{T_i\}\) be a sequence of norm one operators defined on \(E\). Let \(L=\{ f\in E: T_if\) converges weakly to \(f\}\), and \(N=\{f\in E: T_if\) converges in norm to \(f\}\). If,
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Korovkin type approximation theorem via AI2 -summability methods

Filomat, 2016
In this paper we consider the notion of AI2-summability for real double sequences which is an extension of the notion of AI-summability 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 AI2-summability.
Dutta, Sudipta, Akdag, Sevda, Das, Pratulananda   +2 more
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Statistical weighted A-summability with application to Korovkin’s type approximation theorem

Journal of Inequalities and Applications, 2016
We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be ...
Syed Abdul Mohiuddine
doaj   +1 more source

A Comprehensive Approach for Detecting Brake Pad Defects Using Histogram and Wavelet Features with Nested Dichotomy Family Classifiers. [PDF]

Sensors (Basel), 2023
Gnanasekaran S, Jakkamputi LP, Rakkiyannan J, Thangamuthu M, Bhalerao Y.   +4 more
europepmc   +1 more source

Revisiting Korovkin-Type Theorems in Banach Function Spaces

Mediterranean Journal of Mathematics
This article delves into Korovkin-type theorems in Banach function spaces, as established by Yusuf Zeren et al. (2022). We prove that in this theorem, the positivity of the operators is not a necessary requirement and provide example of a non positive operator where it is applicable.
Kumar, V. B. Kiran, Vinaya, P. C.
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On theorems of Korovkin, II

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1965
Nakamoto, Ritsuo, Nakamura, Masahiro
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A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials

Mathematics
This research work introduces a connection of adjoint Bernoulli’s polynomials and a gamma function as a sequence of linear positive operators. Further, the convergence properties of these sequences of operators are investigated in various functional ...
Nadeem Rao, Mohammad Farid, Rehan Ali
doaj   +1 more source