Statistical extension of the Korovkin-type approximation theorem [PDF]
, 2011 Summary: In this paper, using the concept of statistical -convergence which is stronger than convergence and statistical convergence we obtain a Korovkin type approximation theorem for sequences of positive linear operators from \(H\omega\) to \(CB(I)\) where \(I = [0; 1)\) and \(\omega\) is a modulus of continuity type functions. Also, we construct an
Demirci, Kamil, Dirik, Fadime
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Approximation Theorems for Functions of Two Variables via σ-Convergence
Journal of Function Spaces, 2014 Çakan et al. (2006) introduced the concept of σ-convergence for double sequences. In this work, we use this notion to prove the Korovkin-type approximation theorem for functions of two variables by using the test functions 1, x, y, and x2+y2 and ...
Mohammed A. Alghamdi
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$\pmb{A}$-Statistical extension of the Korovkin type approximation theorem
, 2005 In this paper, using the concept of $A$-statistical convergence which is a regular (non-matrix) summability method, we obtain a general Korovkin type approximation theorem which concerns the problem of approximating a function $f$ by means of a sequence $\{L_{n}f\}$ of positive linear operators.
Erkus, Esra, Duman, Oktay
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Approximation Properties of Ibragimov-Gadjiev-Durrmeyer Operators on Lp (ℝ+)
Demonstratio Mathematica, 2017 We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which offer a reconstruction of integral type operators including well known Durrmeyer operators.
Ulusoy Gülsüm, Aral Ali
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A Comprehensive Approach for Detecting Brake Pad Defects Using Histogram and Wavelet Features with Nested Dichotomy Family Classifiers. [PDF]
Sensors (Basel), 2023 Gnanasekaran S +4 more
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Korovkin type approximation theorems via power series method
São Paulo Journal of Mathematical Sciences, 2017 Korovkin type approximation theorems for a sequence of positive linear operators defined on \(C[a,b]\) and \(L_{q}[a,b]\), \(1 \leq q < \infty\), are established via power series method. The rate of convergence of these operators is given, and some quantitative estimates for \(L_{q}\)-approximation are established.
Taş, E., Girgin Atlıhan, Özlem
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Statistical Deferred Weighted Riemann Summability and Fuzzy Approximation Theorems [PDF]
Sahand Communications in Mathematical AnalysisThe notion of statistical convergence has fascinated many researchers due mainly to the fact that it is more general than the well-established hypothesis of ordinary (classical) convergence.
Priyadarsini Parida +2 more
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Approximation properties of a modified Gauss–Weierstrass singular integral in a weighted space
Journal of Inequalities and ApplicationsSingular integral operators play an important role in approximation theory and harmonic analysis. In this paper, we consider a weighted Lebesgue space L p , w $L^{p,w}$ , define a modified Gauss–Weierstrass singular integral on it, and study direct and ...
Abhay Pratap Singh, Uaday Singh
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A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials
MathematicsThis 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
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Approximation Results: Szász–Kantorovich Operators Enhanced by Frobenius–Euler–Type Polynomials
AxiomsThis research focuses on the approximation properties of Kantorovich-type operators using Frobenius–Euler–Simsek polynomials. The test functions and central moments are calculated as part of this study.
Nadeem Rao, Mohammad Farid, Mohd Raiz
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