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Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi φ−Convex Functions |
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PP: 107-122 |
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doi:10.18576/pfda/080107
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Author(s) |
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Miguel Vivas-Cortez,
Artion Kashuri,
Jorge Eliecer Herna ́ndez Herna ́ndez,
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Abstract |
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The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and the AB−fractional integral operator. A number of unique examples have been identified. The concept of generalized quasi φ−convex functions is also introduced, as well as some fractional inequalities.
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