Abstract
We firstly establish inequalities for functions whose high degree derivatives are convex via an equality which was presented previously. Then we derive inequalities for functions whose high-order derivatives are absolutely continuous by using the same equality. In addition, we examine connections between inequalities obtained in earlier works and our results. Finally, some estimates of composite quadrature rules are given.
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Articles in the same Issue
- Frontmatter
- Localized optical vortex solitons in pair plasmas
- Exact solutions for the total variation denoising problem of piecewise constant images in dimension one
- New generalized trapezoidal type integral inequalities with applications
- Existence of solutions of BVPs for fractional Langevin equations involving Caputo fractional derivatives
- Some perturbed inequalities of Ostrowski type for high-order differentiable functions and applications
- Optimal bounds for the sine and hyperbolic tangent means II
- A piezoelectric contact problem with slip dependent friction and damage
- Extensions of coefficient estimates for new classes of bi-univalent functions defined by Sǎlǎgean integro-differential operator
- Blow-up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities
- Caputo generalized ψ-fractional integral inequalities
- L1-solutions of the boundary value problem for implicit fractional order differential equations
- Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spaces
- On a family of the incomplete H-functions and associated integral transforms
- On strongly quasilinear elliptic systems with weak monotonicity