The present article deals with the general family of summation-integral type operators. Here, we introduce the Stancu type generalization of the Jakimovski-Leviatan- Paltanea operators and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Also, we propose a king type modication of these operators to obtain better estimates.
Voronovskaja-type theorem, K-functional, Appell polynomials, rate of convergence, modulus of continuity, weighted approximation.
Primary Language | English |
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Journal Section | Research Article |
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Publication Date | December 1, 2019 |
Published in Issue | Year 2019, Volume 9, Issue 4 |
Bibtex | @ { twmsjaem760968, journal = {TWMS Journal of Applied and Engineering Mathematics}, issn = {2146-1147}, eissn = {2587-1013}, address = {Işık University ŞİLE KAMPÜSÜ Meşrutiyet Mahallesi, Üniversite Sokak No:2 Şile / İstanbul}, publisher = {Turkic World Mathematical Society}, year = {2019}, volume = {9}, number = {4}, pages = {936 - 948}, title = {APPROXIMATION BY STANCU TYPE JAKIMOVSKI-LEVIATAN-PǍLTǍNEA OPERATORS}, key = {cite}, author = {Kumar, A. and Vandana, -} } |