New extensions of Hermite–Hadamard inequalities via generalized proportional fractional integral

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Abstract

The main aim this work is to give Hermite–Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite–Hadamard type inequalities for generalized proportional fractional integrals. © 2021 Wiley Periodicals LLC

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Keywords

Confluent Hypergeometric Function, Hermite–Hadamard Inequalities, Proportional Fractional Integral Operators, Riemann–Liouville Fractional Integral Operators, Hermite-Hadamard Inequalities, Riemann-Liouville Fractional Integral Operators, proportional fractional integral operators, Convex-Functions, Hermite-Hadamard inequalities, Exponentially Convex, Riemann-Liouville fractional integral operators, confluent hypergeometric function, Derivatives, Model, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

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0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Citation

Mumcu, İlker...et al. (2021). "New extensions of Hermite–Hadamard inequalities via generalized proportional fractional integral", Numerical Methods for Partial Differential Equations.

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