Exponential type convexity and some related inequalities

DOI10.1186/s13660-020-02349-1zbMath1503.26059OpenAlexW3031981046WikidataQ115519132 ScholiaQ115519132MaRDI QIDQ2069363

İmdat İşcan, Mahir Kadakal

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02349-1

zbMATH Keywords

convex functionHermite-Hadamard inequalityexponential type convexity

Mathematics Subject Classification ID

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

Related Items (14)

Hermite-Hadamard-type inequalities via \(n\)-polynomial exponential-type convexity and their applications ⋮ Hermite-Jensen-Mercer type inequalities via \(\Psi\)-Riemann-Liouville \(k\)-fractional integrals ⋮ Several integral inequalities for \((\alpha,s,m)\)-convex functions ⋮ New inequalities via \(n\)-polynomial harmonically exponential type convex functions ⋮ New Hermite-Hadamard type inequalities for exponentially convex functions and applications ⋮ On \(n\)-polynomial convexity and some related inequalities ⋮ New Hermite-Hadamard inequalities in fuzzy-interval fractional calculus via exponentially convex fuzzy interval-valued function ⋮ Some Ostrowski type inequalities via \(n\)-polynomial exponentially \(s\)-convex functions and their applications ⋮ Hermite-Hadamard type inequalities via generalized harmonic exponential convexity and applications ⋮ On exponential type P-functions ⋮ Some integral inequalities via new generalized harmonically convexity ⋮ Trapezium-type inequalities for \(k\)-fractional integral via new exponential-type convexity and their applications ⋮ New fractional inequalities of Hermite-Hadamard type involving the incomplete gamma functions ⋮ On extended convex functions via incomplete gamma functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermite-Hadamard-Fejér type inequalities for quasi-geometrically convex functions via fractional integrals
• Sharp integral inequalities of the Hermite-Hadamard type
• On \(h\)-convexity
• Properties of \(h\)-convex functions related to the Hermite-Hadamard-Fejér inequalities
• New inequalities for strongly \(r\)-convex functions
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Some new Hermite-Hadamard type inequalities for \(s\)-convex functions and their applications
• Some integral inequalities for harmonically \((\alpha,s)\)-convex functions
• Some new integral inequalities for n-times differentiable convex and concave functions

This page was built for publication: Exponential type convexity and some related inequalities