6533b829fe1ef96bd128afbc
RESEARCH PRODUCT
Yet Another New Variant of Szász–Mirakyan Operator
Gancho TachevAna Maria Acusubject
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 anotherMathematicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-10-01 | Symmetry |