Approximation with an arbitrary order by generalized Kantorovich-type and Durrmeyer-type operators on [0, +∞) [PDF]
, 2017 Given an arbitrary sequence λn > 0, n ∈ N, with the property that limn→∞ λn = 0 as fast we want, in this note we introduce modified/ gene- ralized Sza´sz-Kantorovich, Baskakov-Kantorovich, Sza´sz-Durrmeyer-Stancu and Baskakov-Sza´sz-Durrmeyer-Stancu ...
TRIFA, Sorin
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Composition of some positive linear integral operators
Demonstratio MathematicaThis article is devoted to constructing sequences of integral operators with the same Voronovskaja formula as the generalized Baskakov operators, but having different behavior in other respects.
Acu Ana-Maria, Rasa Ioan, Sofonea Florin
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Approximations by multivariate sublinear and Max-product operators under convexity
Demonstratio Mathematica, 2018 Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators.
Anastassiou George A.
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On generalized Baskakov-Durrmeyer-Stancu type operators
Demonstratio Mathematica, 2017 In this paper, we study some local approximation properties of generalized Baskakov-Durrmeyer-Stancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the ...
Kumar Angamuthu Sathish +2 more
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Eigenstructure of the genuine Beta operators of Lupaș and Mühlbach: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary [PDF]
, 2016 The eigenstructure of genuine Beta operators is described, a limiting case of Beta-Jacobi operators. Its similarity to that of the classical Bernstein operators is emphasized.
HEILMANN, Margareta +2 more
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Overiteration of d-variate tensor product Bernstein operators: A quantitative result (Dedicated to the memory of Professor Sorin Gal) [PDF]
Extending an earlier estimate for the degree of approximation of over iterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the d-variate case.
ACU, Ana-Maria, GONSKA, Heiner
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Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators
Demonstratio Mathematica, 2017 In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modified operators introduced by Atakut with the help of the q-Appell polynomials.We obtain some approximation results via the well-known Korovkin’s theorem for these operators.We
Mursaleen Mohammad +2 more
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Multivariate Voronovskaya type asymptotic expansions for normalized bell and squashing type neural network operators [PDF]
, 2012 Here we introduce the multivariate normalized bell and squashing type neural net-work operators of one hidden layer. We derive multivariate Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit operator ...
Anastassiou, George A.
core
Note on the shape-preservation of a new class of Kantorovich-type operators via divided differences
Demonstratio MathematicaShape-preserving approximation is a significant approximation method that has many application areas, such as computer-based geometric design, image processing, geodesy, chemistry, and robotics.
Turhan Nezihe
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Multivariate and abstract approximation theory for Banach space valued functions
Demonstratio Mathematica, 2017 Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued Fréchet differentiable functions to the unit operator, as well as other basic approximations including those under convexity ...
Anastassiou George A.
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