On \(q\)-Hermite-Hadamard inequalities for general convex functions
From MaRDI portal
Publication:2221012
DOI10.1007/s10474-020-01025-6zbMath1474.26085OpenAlexW3006443523MaRDI QIDQ2221012
Péter Kórus, Sergio Bermudo, Juan E. Nápoles Valdés
Publication date: 25 January 2021
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-020-01025-6
\(q\)-calculusHermite-Hadamard inequality\(h\)-convex functionmodified \(h\)-convex function\(q\)-integral inequality
Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)
Related Items (51)
On some new trapezoidal inequalities for \(q^{\varkappa_2}\)-quantum integrals via Green function ⋮ Post-quantum Ostrowski type integral inequalities for twice (p,q)-differentiable functions ⋮ New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions ⋮ Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes ⋮ Quantum Hermite-Hadamard type inequalities for generalized strongly preinvex functions ⋮ Quantum Hermite-Hadamard and quantum Ostrowski type inequalities for \(s\)-convex functions in the second sense with applications ⋮ On generalizations of quantum Simpson's and quantum Newton's inequalities with some parameters ⋮ New integral inequalities involving \(m\)-convex functions in \((p, q)\)-calculus ⋮ Some new q-Hermite-Hadamard-Mercer inequalities and related estimates in quantum calculus ⋮ Integral inequalities within the framework of generalized fractional integrals ⋮ q-Hermite-Hadamard inequalities for functions with convex or h-convex q-derivative ⋮ A new generalization of some quantum integral inequalities for quantum differentiable convex functions ⋮ Hermite-Hadamard integral inequalities on coordinated convex functions in quantum calculus ⋮ Simpson's and Newton's type quantum integral inequalities for preinvex functions ⋮ Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables ⋮ Refinements of quantum Hermite-Hadamard-type inequalities ⋮ Montgomery identity and Ostrowski-type inequalities via quantum calculus ⋮ A new generalization of q-Hermite-Hadamard type integral inequalities for p, (p-s) and modified (p-s)-convex functions ⋮ Some refinements of Hermite-Hadamard inequality using k-fractional Caputo derivatives ⋮ Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions ⋮ On some new quantum trapezoid-type inequalities for \(q\)-differentiable coordinated convex functions ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ Refinements of generalised Hermite-Hadamard inequality ⋮ Some new Hermite-Hadamard and Ostrowski type inequalities for s-preinvex functions in \((p,q)\)-calculus with applications ⋮ New extensions of Hermite-Hadamard inequality using \(k\) fractional Caputo derivatives ⋮ New quantum Hermite-Hadamard-type inequalities for \(p\)-convex functions involving recently defined quantum integrals ⋮ Study of quantum Ostrowski-type inequalities for differentiable convex functions ⋮ Some refinements of the Hermite-Hadamard inequality with the help of weighted integrals ⋮ On some new inequalities of Hermite-Hadamard-Mercer midpoint and trapezoidal type in \(q\)-calculus ⋮ Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions ⋮ Post-quantum Hermite-Jensen-Mercer inequalities ⋮ New quantum integral inequalities via m-convex functions over finite interval ⋮ Some new quantum Hermite-Hadamard-like inequalities for coordinated convex functions ⋮ A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions ⋮ Post quantum Ostrowski‐type inequalities for coordinated convex functions ⋮ Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral ⋮ Hermite-Hadamard type inequalities via weighted integral operators ⋮ A new version of \(q\)-Hermite-Hadamard's midpoint and trapezoid type inequalities for convex functions ⋮ Unnamed Item ⋮ Quantum inequalities of Hermite-Hadamard type for \(r\)-convex functions ⋮ \(q\)-Hermite-Hadamard inequalities for generalized exponentially \((s,m;\eta)\)-preinvex functions ⋮ On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions ⋮ Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus ⋮ Post-quantum Hermite-Hadamard type inequalities for interval-valued convex functions ⋮ On some new midpoint inequalities for the functions of two variables via quantum calculus ⋮ On new generalized quantum integrals and related Hermite-Hadamard inequalities ⋮ Some integral inequalities via fractional derivatives ⋮ On some new Hermite-Hadamard and Ostrowski type inequalities for \(s\)-convex functions in \((p, q)\)-calculus with applications ⋮ A new version of \((p,q)\)-Hermite-Hadamard's midpoint and trapezoidal inequalities via special operators in \((p,q)\)-calculus ⋮ Quantum Ostrowski type inequalities for pre-invex functions ⋮ Some trapezoid and midpoint type inequalities for newly defined quantum integrals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(h\)-convexity
- Quantum calculus on finite intervals and applications to impulsive difference equations
- Quantum integral inequalities on finite intervals
- A Comprehensive Treatment of q-Calculus
- On some Hadamard-type inequalities for h-convex functions
- Matrix Hermite-Hadamard type inequalities
- Hermite-Hadamard's inequalities for multivariate g-convex functions
- Quantum calculus
This page was built for publication: On \(q\)-Hermite-Hadamard inequalities for general convex functions