Some new estimates for exponentially $(\hbar,\mathfrak{m})$-convex functions via extended generalized fractional integral operators

DOI10.11568/kjm.2019.27.4.843zbMath1436.26023OpenAlexW2996908470MaRDI QIDQ5221078

Muhammad Aslam Noor, Khalida Inayat Noor, Saima Rashid

Publication date: 24 March 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/819/508

zbMATH Keywords

convex functionexponentially convex functiongeneralized Mittag-Leffler functiongeneralized fractional integral operatorsexponentially \((\hbar,\mathfrak{m})\)-convex functionHadamard-Fejér 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 (8)

New trends in general variational inequalities ⋮ Generalized inequalities for integral operators via several kinds of convex functions ⋮ Inequalities involving new fractional integrals technique via exponentially convex functions ⋮ Certain generalized Riemann-Liouville fractional integrals inequalities based on exponentially \((h, m)\)-preinvexity ⋮ Unnamed Item ⋮ Some new bounds analogous to generalized proportional fractional integral operator with respect to another function ⋮ Unnamed Item ⋮ Boundedness of fractional integral operators containing Mittag-Leffler function via exponentially \(s\)-convex functions

Cites Work

• Some inequalities for functions having Orlicz-convexity
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• Convexity according to the geometric mean
• Some new bounds for Simpson's rule involving special functions via harmonic h-convexity
• The extended Mittag-Leffler function via fractional calculus
• Chebyshev type inequalities for conformable fractional integrals
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