AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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Authors: ERHAN SET, ABDURRAHMAN GÖZPINAR.
DOI: 10.24193/subbmath.2017.3.04
Published Online: 2017-09-30
Published Print: 2017-09-30
pp. 309-323
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In the present note, firstly we established a generalization of Hermite Hadamard’s inequality for s-convex functions via conformable fractional integrals which generalized Riemann-Liouville fractional integrals. Secondly, we proved new identity involving conformable fractional integrals via beta and incomplete beta functions. Then, by using this identity, some Hermite Hadamard type integral inequalities for s-convex functions in the second sense are obtained.
Keywords: s-convex functions, Hermite-Hadamard inequality, conformable fractional integrals.
Mathematics Subject Classification (2010): 26A33, 26A51, 26D10, 26D15.
