Results 41 to 50 of about 1,338 (131)

Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators

open access: yesAdvances in Nonlinear Analysis, 2016
We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
doaj   +1 more source

Ostrowski Type Inequalities over Spherical Shells [PDF]

open access: yes, 2008
2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a ...
Anastassiou, George A.
core  

On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration

open access: yes, 2012
In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are ...
Tunc, Mevlut
core   +1 more source

On Improved Simpson‐Type Inequalities via Convexity and Generalized Fractional Operators

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this work, we develop novel Simpson‐type inequalities for mappings with convex properties by employing operators for tempered fractional integrals. These findings expand upon and refine classical results, including those linked to Riemann–Liouville fractional integrals.
Areej A. Almoneef   +4 more
wiley   +1 more source

A completely monotonic function involving the tri- and tetra-gamma functions

open access: yes, 2010
The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
core   +1 more source

Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam   +3 more
wiley   +1 more source

Opial type inequalities for double Riemann-Stieltjes integrals

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
In this paper, we establish some Opial type inequalities for Riemann-Stieltjes integrals of functions with two variables. The obtained inequalities generalize those previously demonstrated (see [2])
Budak Hüseyin
doaj   +1 more source

Analysis of Cauchy problem with fractal-fractional differential operators

open access: yesDemonstratio Mathematica, 2023
Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain   +2 more
doaj   +1 more source

$L_p$-Bounds for the \v{C}eby\v{s}ev functional

open access: yes, 2023
In this paper several new bounds for the \v{C}eby\v{s}ev functional involving $L_p$-norm are presented.Comment: This work contains inaccurate results. Some results do not hold.
Alomari, Mohammad W.
core  

Generalized Fractional Integral Inequalities of σ‐Convex Functions

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k‐fractional Riemann–Liouville integrals.
Shweta Lather, Harish Nagar, Zafar Ullah
wiley   +1 more source

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