Geodesic
On the generalized Ostrowski type inequalities for co-ordinated convex functions
Filomat, Tome 37 (2023) no. 22, p. 7351

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DOI

The purpose of this article is to establish some generalized Ostrowski type inequalities and integral inequalities in the coordinate plane for convex functions of 2 variables. For this, we will specify a generalized identity, and with the help of this integral identity, we will examine the Ostrowski, trapezoid, and midpoint type integral inequalities, including Riemann integral and Riemann-Liouville fractional integral. In this way, we aim to contribute to the generalization of integral inequalities, an important topic in mathematical analysis.
DOI : 10.2298/FIL2322351S
Classification : 26A33, 26A51, 26D15
Keywords: Riemann-Liouville fractional integrals, Convex function, Co-ordinated convex mapping, Hermite-Hadamard inequality 
Mehmet Zeki Sarıkaya. On the generalized Ostrowski type inequalities for co-ordinated convex functions. Filomat, Tome 37 (2023) no. 22, p. 7351 . doi: 10.2298/FIL2322351S
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     author = {Mehmet Zeki Sar{\i}kaya},
     title = {On the generalized {Ostrowski} type inequalities for co-ordinated convex functions},
     journal = {Filomat},
     pages = {7351 },
     year = {2023},
     volume = {37},
     number = {22},
     doi = {10.2298/FIL2322351S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322351S/}
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