Results 71 to 80 of about 5,307 (157)

A study of new quantum Montgomery identities and general Ostrowski like inequalities

Ain Shams Engineering Journal
The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes qϖ3 and qϖ4 differentiable functions to establish two new Montgomery identities, which ...
Muhammad Uzair Awan, Muhammad Zakria Javed, Huseyin Budak, Y.S. Hamed, Jong-Suk Ro   +4 more
doaj   +1 more source

Tug-of-war and the infinity Laplacian

, 2008
We prove that every bounded Lipschitz function F on a subset Y of a length space X admits a tautest extension to X, i.e., a unique Lipschitz extension u for which Lip_U u = Lip_{boundary of U} u for all open subsets U of X that do not intersect Y. This
B. Wilson, David, Oded Schramm, Scott Sheffield, Yuval Peres   +4 more
core   +2 more sources

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Demonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe, Khan Muhammad Adil, Faisal Shah, Saeed Tareq, Nwaeze Eze R.   +4 more
doaj   +1 more source

Fractional Integral Estimates of Boole Type: Majorization and Convex Function Approach with Applications

Fractal and Fractional
The goal of this paper is to use a Boole-type inequality framework to provide better estimates for differentiable functions. Using majorization theory, fractional integral operators are incorporated into a new auxiliary identity.
Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol   +2 more
doaj   +1 more source

Humanitarian inversions: COVID-19 as crisis. [PDF]

Trans Inst Br Geogr, 2022
Herrick C, Kelly A, Soulard J.
europepmc   +1 more source

Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications

Axioms
In this work, we initially derive an integral identity that incorporates a twice-differentiable function. After establishing the recently created identity, we proceed to demonstrate some new Hermite–Hadamard–Mercer-type inequalities for twice ...
Muhammad Aamir Ali, Thanin Sitthiwirattham, Elisabeth Köbis, Asma Hanif   +3 more
doaj   +1 more source

Local universality of repulsive particle systems and random matrices

, 2014
We study local correlations of certain interacting particle systems on the real line which show repulsion similar to eigenvalues of random Hermitian matrices.
Götze, Friedrich, Venker, Martin
core   +1 more source

A version of Hermite-Hadamard-Mercer inequality and associated results

Ain Shams Engineering Journal
Over the past decade, the Hermite-Hadamard inequality has attracted significant attention from mathematicians, leading to the development of various extensions and generalizations involving different fractional operators, stochastic processes ...
Zhenglin Zhang, Muhammad Adil Khan, Jamroz Khan, Shah Faisal, Xuewu Zuo, Mohammed Kbiri Alaoui   +5 more
doaj   +1 more source

Examining privilege and power in US urban parks and open space during the double crises of antiblack racism and COVID-19. [PDF]

Socioecol Pract Res, 2021
Hoover FA, Lim TC.
europepmc   +1 more source

New estimates on generalized Hermite–Hadamard–Mercer-type inequalities

Boundary Value Problems
The concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality.
Çetin Yıldız, Samet Erden, Seth Kermausuor, Daniel Breaz, Luminiţa-Ioana Cotîrlă   +4 more
doaj   +1 more source