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Authors: SETH KERMAUSUOR, EZE R. NWAEZE.
DOI: 10.24193/subbmath.2022.4.01
Published Online: 2022-12-02
Published Print: 2022-12-30
pp. 677-692
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In this work, we establish some new midpoint and trapezoidal type inequalities for prequasiinvex functions via the Katugampola fractional integrals. Some of the results obtained in this paper are generalizations of some earlier results in the literature.
Mathematics Subject Classification (2010) : 26A33, 26A51, 26D10, 26D15.
Keywords: Hermite-Hadamard inequality, midpoint-type inequalities, trapezoidal-type inequalities, quasi-convex functions, prequasiinvex functions, Hölder’s inequality, power mean inequality, Katugampola fractional integrals, Riemann-Liouville fractional integrals, Hadamard fractional integrals.
