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In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially  α , h − m -convex functions via generalized Riemann–Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex, strongly  m -convex, strongly  s -convex, strongly  α , m -convex, strongly  s , m -convex, strongly  h − m -convex, strongly  α , h − m -convex, strongly exponentially convex, strongly exponentially  m -convex, strongly exponentially  s -convex, strongly exponentially  s , m -convex, strongly exponentially  h − m -convex, and exponentially  α , h − m -convex functions. The error estimations are also studied by applying two fractional integral identities.

journal of mathematics

Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")" separators="|"> <mrow> <mi>α</mi> <mo>,</mo> <mi>h</mi> <mo>−</mo> <mi>m</mi> </mrow> </mfenced> </math>-Convex Functions

Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially α , h − m -Convex Functions

Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially $(α, h - m)$ -Convex Functions