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	STUDIA MATHEMATICA - Issue no. 1 / 2019

	Article:	OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES ARE STRONGLY (α, m)-CONVEX VIA k-RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS. Authors: SETH KERMAUSUOR.


	Abstract: Abstract. In this paper, we provide some Ostrowski type integral inequalities for functions whose derivatives in absolute value at some powers are strongly (α, m)-convex with modulus µ ≥ 0 via the k-Riemann-Liouville fractional integrals. Similar results related to (α, m)-convex functions are obtained as a particular case. Mathematics Subject Classification (2010): 26A33, 26A51, 26D10, 26D15. Keywords: Ostrowski’s inequality, strongly convex functions, strongly (α, m)-convex functions, Riemann-Liouville fractional integrals, Hölder’s inequality.




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