A modified Post Widder operators preserving e Ax
DOI:
https://doi.org/10.24193/subbmath.2022.3.11Abstract
In the present paper, we discuss the approximation properties of modified Post-Wiidder operators, which preserve the test function e Ax. We establish weighted approximation and a direct quantitative estimate for the modified operators.References
bibitem{oa1} O. Agratini, A sequence of positive linear operators associated with an approximation process, Appl. Math. Comput. 269 (2015), 23--28.
bibitem{oa2} O. Agratini, On an approximation process of integral type,
Appl. Math. Comput. 236 (2014), 195--201.
bibitem{oa} O. Agratini, A. Aral, E. Deniz, On two classes of approximation processes of integral type, Positivity 21 (3)(2017), 1189--1199.
bibitem{acar} T. Acar, A. Aral, D. C.-Morales and P. Garrancho, Sz'asz-Mirakyan operators which fix exponentials, Results Math. 72(2)(2017).
bibitem {ZD} Z. Ditzian, On global inverse theorems of Sz'asz and Baskakov operators, 31(2) (1979), 255-263.
bibitem{vgda} V. Gupta and D. Agrawal, Convergence by modified Post-Widder operators, Rev. R. Acad. Cienc. Exactas F'is. Nat. Ser. A Mat. RACSAM 113(2)(2019), 1475--1486.
bibitem{vgvks} V. Gupta and V. K. Singh, Modified Post-Widder operators preserving exponential functions, Avanes in Mathematical Methods and High Performance Computing, Advances in Mechanics and Mathematics 41, Editors V. K. Singh et al. Springer Nature Switzerland (2019), 181--192.
bibitem{vggt} V. Gupta and G. Tachev, Approximation with Positive Linear Operators
and Linear Combinations, Series: Developments in Mathematics, Vol.
Springer, 2017.
bibitem{vg-kjm} V. Gupta and G. Tachev, Some results on Post-Widder operators preserving test function $x^r$, Kragujevac J. Math. 46(1)(2022), 149-165.
bibitem{vgpm} V. Gupta and P. Maheshwari, Approximation with certain Post Widder operators, Publ. Inst Math 105 (119)(2019), 1-6.
bibitem{vgmtr} V. Gupta and M. T. Rassias, Moments of Linear Positive Operators and Approximation, Series: SpringerBriefs in Mathematics, Springer Nature Switzerland AG (2019).
bibitem{GTVGAA} G. Tachev, V. Gupta and A. Aral, Voronovskja's theorem for functions with exponential growth, Georgian Math. J. DOI: https://doi.org/10.1515/gmj-2018-0041
bibitem{widder} D. V. Widder, The Laplace Transform, Princeton Mathematical Series, Princeton University Press, Princeton, N.J., 1941.
Downloads
Additional Files
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.