On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
From MaRDI portal
Publication:2053619
DOI10.1515/math-2021-0015zbMath1475.26013OpenAlexW3170865853MaRDI QIDQ2053619
Necmettin Alp, Hüseyin Budak, Muhammad Aamir Ali, Yu-Ming Chu, Zhi-Yue Zhang
Publication date: 29 November 2021
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2021-0015
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 (17)
On some new trapezoidal inequalities for \(q^{\varkappa_2}\)-quantum integrals via Green function ⋮ Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes ⋮ 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 ⋮ On the generalized power-type Toader mean ⋮ A new generalization of some quantum integral inequalities for quantum differentiable convex functions ⋮ Refinements of quantum Hermite-Hadamard-type inequalities ⋮ Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions ⋮ Montgomery identity and Ostrowski-type inequalities via quantum calculus ⋮ Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions ⋮ A new generalization of q-Hermite-Hadamard type integral inequalities for p, (p-s) and modified (p-s)-convex functions ⋮ 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 ⋮ A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions ⋮ A new version of \(q\)-Hermite-Hadamard's midpoint and trapezoid type inequalities for convex functions ⋮ On some new Hermite-Hadamard and Ostrowski type inequalities for \(s\)-convex functions in \((p, q)\)-calculus with applications ⋮ Quantum Ostrowski type inequalities for pre-invex functions
Cites Work
- Some quantum integral inequalities via preinvex functions
- Different types of quantum integral inequalities via \((\alpha ,m)\)-convexity
- Some quantum estimates for Hermite-Hadamard inequalities
- Integral inequalities in \(q\)-calculus
- Quantum Hermite-Hadamard inequality by means of a Green function
- New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications
- New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions
- Some new quantum Hermite-Hadamard-like inequalities for coordinated convex functions
- On \(q\)-Hermite-Hadamard inequalities for general convex functions
- Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second \(q^b\)-derivatives
- Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
- A Comprehensive Treatment of q-Calculus
- Quantum Ostrowski inequalities for q-differentiable convex functions
- A Method for q-Calculus
- Simpson and Newton type inequalities for convex functions via newly defined quantum integrals
- Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
- Quantum Ostrowski‐type integral inequalities for functions of two variables
- Some trapezoid and midpoint type inequalities for newly defined quantum integrals
- Some Fractional q-Integrals and q-Derivatives
- Quantum calculus
- Unnamed Item
- Unnamed Item
This page was built for publication: On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions