Publication: Integral inequalities for mappings whose derivatives are (h, m, s)-convex modified of second type via katugampola integrals
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Authors
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Bayraktar, Bahtiyar
Valdas, June E. Naepoles
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Univ Craiova
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Abstract
In this paper, using the definition of functions (h, m, s)-convex modified of sec-ond type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.
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Keywords
Hermite-hadamard type, S-convex functions, Differentiable mappings, Fractional integrals, Real numbers, Hermite-hadamard integral inequality, Katugampola fractional integral, h, M, S-convex modified functions, Science & technology, Physical sciences, Mathematics