New inequalities for co-ordinated convex functions via Riemann-Liouville fractional calculus
نویسندگان
چکیده
منابع مشابه
NEW INEQUALITIES OF OSTROWSKI TYPE FOR CO-ORDINATED s-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
In this paper, using the identity proved [43]in for fractional integrals, some new Ostrowski type inequalities for Riemann-Liouville fractional integrals of functions of two variables are established. The established results in this paper generalize those results proved in [43].
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Recently, a general class of the Hermit--Hadamard-Fejer inequality on convex functions is studied in [H. Budak, March 2019, 74:29, textit{Results in Mathematics}]. In this paper, we establish a generalization of Hermit--Hadamard--Fejer inequality for fractional integral based on co-ordinated convex functions.Our results generalize and improve several inequalities obtained in earlier studies.
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*Correspondence: [email protected]; [email protected] 1School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, P.R. China 2Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, P.R. China Full list of author information is available at the end of the article Abstract Motivated by the definition of geometric-arithmetically s-convex...
متن کاملNEW OSTROWSKI TYPE INEQUALITIES FOR CO-ORDINATED s-CONVEX FUNCTIONS IN THE SECOND SENSE
In this paper some new Ostrowski type inequalities for co-ordinated s-convex functions in the second sense are obtained.
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2014
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.45.2014.1365