A variant of Jensen-type inequality and related results for harmonic convex functions
From MaRDI portal
Publication:2132206
DOI10.3934/math.2020412zbMath1484.26048OpenAlexW3048865070MaRDI QIDQ2132206
Absar Ul Haq, Aqeel Ahmad Mughal, Imran Abbas Baloch, Yu-Ming Chu, Manuel de la Sen
Publication date: 27 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2020412
convex functionsharmonic convex functionsJensen-type inequalityHermite-Hadamard-type inequalitydiscrete Hölder inequalityharmonic \(h\)-convex functions
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (19)
New fractional Hermite-Hadamard-Mercer inequalities for harmonically convex function ⋮ Certain new weighted estimates proposing generalized proportional fractional operator in another sense ⋮ Some new Simpson-type inequalities for generalized \(p\)-convex function on fractal sets with applications ⋮ New fractional approaches for \(n\)-polynomial \(\mathcal{P}\)-convexity with applications in special function theory ⋮ A new \(q\)-integral identity and estimation of its bounds involving generalized exponentially \(\mu\)-preinvex functions ⋮ Generalized fractal Jensen and Jensen-Mercer inequalities for harmonic convex function with applications ⋮ On some refinements for inequalities involving zero-balanced hypergeometric function ⋮ New Hermite-Hadamard type inequalities for exponentially convex functions and applications ⋮ A new approach on fractional calculus and probability density function ⋮ Some new \((p_1p_2,q_1q_2)\)-estimates of Ostrowski-type integral inequalities via \(n\)-polynomials \(s\)-type convexity ⋮ New Hermite-Jensen-Mercer-type inequalities via \(k\)-fractional integrals ⋮ Schur, Hermite-Hadamard, and Fejér type inequalities for the class of higher-order generalized convex functions ⋮ Properties and bounds of Jensen-type functionals via harmonic convex functions ⋮ Refined estimates and generalization of some recent results with applications ⋮ On Ostrowski–Mercer inequalities for differentiable harmonically convex functions with applications ⋮ Unnamed Item ⋮ Monotonicity properties and bounds for the complete \(p\)-elliptic integrals ⋮ New \((p, q)\)-estimates for different types of integral inequalities via \((\alpha, m)\)-convex mappings ⋮ A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean
Cites Work
- On \(h\)-convexity
- Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications
- New Hermite-Hadamard type inequalities for \(n\)-polynomial harmonically convex functions
- Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications
- New estimates considering the generalized proportional Hadamard fractional integral operators
- On new fractional integral inequalities for \(p\)-convexity within interval-valued functions
- Some new local fractional inequalities associated with generalized \((s,m)\)-convex functions and applications
- A sharp double inequality involving generalized complete elliptic integral of the first kind
- Refinements of Jensen's and McShane's inequalities with applications
- Conformable fractional integral inequalities for \(GG\)- and \(GA\)-convex functions
- Conformable integral version of Hermite-Hadamard-Fejér inequalities via \(\eta\)-convex functions
- New weighted generalizations for differentiable exponentially convex mapping with application
- Some generalized fractional integral Simpson's type inequalities with applications
- Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity
- Certain novel estimates within fractional calculus theory on time scales
- Revisiting the Hermite-Hadamard fractional integral inequality via a Green function
- Some unified bounds for exponentially \(tgs\)-convex functions governed by conformable fractional operators
- Fractional generalized Hadamard and Fejér-Hadamard inequalities for \(m\)-convex functions
- Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
- Sharp power mean inequalities for the generalized elliptic integral of the first kind
- New estimates of \(q_1 q_2\)-Ostrowski-type inequalities within a class of \(n\)-polynomial prevexity of functions
- On new unified bounds for a family of functions via fractional \(q\)-calculus theory
- On new modifications governed by quantum Hahn's integral operator pertaining to fractional calculus
- Fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially \((s,m)\)-convex functions
- Some identities of extended degenerate \(r\)-central Bell polynomials arising from umbral calculus
- Petrović-type inequalities for harmonic \(h\)-convex functions
- On harmonically \((p, h, m)\)-preinvex functions
- Some new bounds for Simpson's rule involving special functions via harmonic h-convexity
- Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind
- Asymptotic expansion and bounds for complete elliptic integrals
- Sharp rational bounds for the gamma function
- A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
- Bounding the convex combination of arithmetic and integral means in terms of one-parameter harmonic and geometric means
- Hermite-Hadamard type inequalities for harmonically convex functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A variant of Jensen-type inequality and related results for harmonic convex functions
