JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS

DOI10.1142/S0218348X22400084zbMath1495.26026OpenAlexW3201320572MaRDI QIDQ5062383

Hijaz Ahmad, Saad Ihsan Butt, Saba Yousaf, Taher A. Nofal

Publication date: 15 March 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22400084

zbMATH Keywords

fractal spacelocal fractional derivativegeneralized convex functionlocal fractional integralJensen-Mercer inequalitygeneralized Jensen inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (7)

Some parameterized inequalities arising from the tempered fractional integrals involving the (μ,η)-incomplete gamma functions ⋮ PROPERTIES AND INTEGRAL INEQUALITIES INVOLVING WITH THE GENERALIZED s-TYPE PREINVEX MAPPINGS IN FRACTAL SPACE ⋮ FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS ⋮ PROPERTIES AND INTEGRAL INEQUALITIES ARISING FROM THE GENERALIZED n-POLYNOMIAL CONVEXITY IN THE FRAME OF FRACTAL SPACE ⋮ AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES ⋮ Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ New fractional estimates of Simpson-Mercer type for twice differentiable mappings pertaining to Mittag-Leffler kernel

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