Abstract
This paper is motivated by the recent progress on the Hermite–Hadamard inequality for convex functions defined on the bounded closed interval, obtained by Z. Pavić [Z. Pavić, Improvements of the Hermite–Hadamard inequality, J. Inequal. Appl. 2015 2015, Article ID 222]. As a generalization, we obtained a new refinement of the Hermite–Hadamard inequality for co-ordinated convex functions defined on the rectangle.
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Articles in the same Issue
- Frontmatter
- Two-step collocation methods for two-dimensional Volterra integral equations of the second kind
- Riesz basis of exponential family for a hyperbolic system
- 𝜎-ideals and outer measures on the real line
- Some fractional differential equations involving generalized hypergeometric functions
- Global existence of solutions to nonlinear Volterra integral equations
- Second-order characterization of convex functions and its applications
- On some k-fractional integral inequalities of~Hermite--Hadamard type for twice differentiable generalized beta (r, g)-preinvex functions
- Refinements of the Hermite–Hadamard inequality for co-ordinated convex mappings
- Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality
- Some families of sublinear correspondences
- Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations
- A note on the regularity of weak solutions to the coupled 2D Allen–Cahn–Navier–Stokes system
Articles in the same Issue
- Frontmatter
- Two-step collocation methods for two-dimensional Volterra integral equations of the second kind
- Riesz basis of exponential family for a hyperbolic system
- 𝜎-ideals and outer measures on the real line
- Some fractional differential equations involving generalized hypergeometric functions
- Global existence of solutions to nonlinear Volterra integral equations
- Second-order characterization of convex functions and its applications
- On some k-fractional integral inequalities of~Hermite--Hadamard type for twice differentiable generalized beta (r, g)-preinvex functions
- Refinements of the Hermite–Hadamard inequality for co-ordinated convex mappings
- Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality
- Some families of sublinear correspondences
- Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations
- A note on the regularity of weak solutions to the coupled 2D Allen–Cahn–Navier–Stokes system