0000000000380130

AUTHOR

Gancho Tachev

showing 2 related works from this author

Better numerical approximation by Durrmeyer type operators

2018

The main object of this paper is to construct new Durrmeyer type operators which have better features than the classical one. Some results concerning the rate of convergence and asymptotic formulas of the new operator are given. Finally, the theoretical results are analyzed by numerical examples.

41A25 41A36Applied Mathematics010102 general mathematicsConstruct (python library)Numerical Analysis (math.NA)Type (model theory)Object (computer science)01 natural sciences010101 applied mathematicsMathematics (miscellaneous)Operator (computer programming)Rate of convergenceNumerical approximationFOS: MathematicsApplied mathematicsMathematics - Numerical Analysis0101 mathematicsMathematics
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Yet Another New Variant of Szász–Mirakyan Operator

2021

In this paper, we construct a new variant of the classical Szász–Mirakyan operators, Mn, which fixes the functions 1 and eax,x≥0,a∈R. For these operators, we provide a quantitative Voronovskaya-type result. The uniform weighted convergence of Mn and a direct quantitative estimate are obtained. The symmetry of the properties of the classical Szász–Mirakyan operator and of the properties of the new sequence is investigated. Our results improve and extend similar ones on this topic, established in the last decade by many authors.

SequencePure mathematicsPhysics and Astronomy (miscellaneous)weighted approximationGeneral MathematicsUniform convergenceMathematicsofComputing_GENERALEAX modeuniform convergenceExponential functionOperator (computer programming)Chemistry (miscellaneous)Convergence (routing)Computer Science (miscellaneous)QA1-939Szász–Mirakyan operatorsexponential functionsSymmetry (geometry)Yet anotherMathematicsMathematicsSymmetry
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