Bibliographic Details
| Title: |
APPROXIMATION PROPERTIES OF THE FRACTIONAL q-INTEGRAL OF RIEMANN-LIOUVILLE INTEGRAL TYPE SZÁSZ-MIRAKYAN-KANTOROVICH OPERATORS. |
| Authors: |
KARA, Mustafa1 mustafa.kara@emu.edu.tr |
| Superior Title: |
Communications Series A1 Mathematics & Statistics. 2022, Vol. 71 Issue 4, p1136-1168. 33p. |
| Subject Terms: |
*FRACTIONAL integrals, *MAXIMAL functions, *INTEGRALS, *SMOOTHNESS of functions |
| Abstract: |
In the present paper, we introduce the fractional q-integral of Riemann-Liouville integral type Szász-Mirakyan-Kantorovich operators. Korovkin-type approximation theorem is given and the order of convergence of these operators are obtained by using Lipschitz-type maximal functions, second order modulus of smoothness and Peetre's K-functional. Weighted approximation properties of these operators in terms of modulus of continuity have been investigated. Then, for these operators, we give a Voronovskaya-type theorem. Moreover, bivariate fractional q- integral Riemann-Liouville fractional integral type Szász-Mirakyan-Kantorovich operators are constructed.The last section is devoted to detailed graphical representation and error estimation results for these operators. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |