Results 61 to 70 of about 222 (170)

Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds

Analysis and Geometry in Metric Spaces, 2021
In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry.
Tsuji Hiroshi
doaj   +1 more source

Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals

, 2018
In this paper we generalize some Riemann-Liouville fractional integral inequalities of Ostrowski-type for h-convex functions via Katugampola fractional integrals, generalizations of the Riemann-Liouville and the Hadamard fractional integrals.
KATUGAMPOLA, Udita N., FARID, Ghulam, USMAN, Muhammad   +2 more
core   +1 more source

A New Approach of Milne-type Inequalities Based on Proportional Caputo-Hybrid Operator

, 2023
In this study, we first offer a novel integral identity using twice-differentiable convex mappings for the proportional Caputo-hybrid operator.
Demir, İzzettin
core   +1 more source

Characterization of p‐Adic Mixed λ‐Central Bounded Mean Oscillation Space via Commutators of p‐Adic Hardy‐Type Operators

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space.
Naqash Sarfraz, Muhammad Bilal Riaz, Sajid Mehmood, Mir Zaman, Abdul Rauf Khan   +4 more
wiley   +1 more source

Hermite-Hadamard type inequalities for product of GA-convex functions via Hadamard fractional integrals

, 2017
In this paper, some Hermite-Hadamard type inequalities for products of two GA-convex functions via Hadamard fractional integrals are established. Our results about GA-convex functions are analogous generalizations for some other results proved by ...
KUNT, Mehmet, İȘCAN, İmdat
core   +1 more source

Some New Variants of Hermite–Hadamard and Fejér‐Type Inequalities for Godunova–Levin Preinvex Class of Interval‐Valued Functions

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan, Waqar Afzal, Waqas Nazeer, Joshua Kiddy K. Asamoah, B. B. Upadhyay   +4 more
wiley   +1 more source

LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

Demonstratio Mathematica
Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in modeling various complex phenomena. Because of the several applications of FPIDEs in applied sciences, mathematicians have taken a keen interest in developing and ...
Khan Qasim, Khan Hassan, Kumam Poom, Tchier Fairouz, Singh Gurpreet   +4 more
doaj   +1 more source

Trudinger–Moser type inequalities with logarithmic weights in fractional dimensions

Advanced Nonlinear Studies
The purpose of this paper is two-fold. First, we derive sharp Trudinger–Moser inequalities with logarithmic weights in fractional dimensions:  sup∫01w(r)u′(r)β+2dλα1/(β+2)≤1∫01eμα,θ,γuβ+2β+11−γdλθ 1 and γ = 1 are also be considered in this part to ...
Xue Jianwei, Zhang Caifeng, Zhu Maochun
doaj   +1 more source

On some generalized integral inequalities for φ-convex functions

, 2015
The main goal of the paper is to state and prove some new general inequalities for φ-convex function.
BÜYÜKEKEN, Meltem, SARİKAYA, Mehmet Zeki, KIRIS, Mehmet Eyüp   +2 more
core  

study on a new fractional integral inequality in quantum calculus

, 2013
In this paper, we present a new fractional integral inequality in quantum calculus.
Banyat Sroysang
core