Results 81 to 90 of about 22,384 (309)

Integral Inequalities for Vector (Multi)functions

Axioms
We present some integral inequalities such as Minkowski-type and optimal bound-type for vector functions and vector multifunctions for different kinds of integrals: G-integral, Choquet-type integral, and Sugeno-type integral.
Cristina Stamate, Anca Croitoru
doaj   +1 more source

Generalized Hadamard Fractional Integral Inequalities for Strongly s , m -Convex Functions [PDF]

, 2021
Chao Miao, Ghulam Farid, Hafsa Yasmeen, Yanhua Bian   +3 more
openalex   +1 more source

On Hilbert's Integral Inequality

Journal of Mathematical Analysis and Applications, 1998
In this paper, the Hilbert integral inequality \[ \int^\infty_0 \int^\infty_0 {f(x)g(y)\over x+y} dx dy\leq \pi\Biggl(\int^\infty_0 f^2(x)dx\Biggr)^{1/2}\Biggl(\int^\infty_0 g^2(x)dx\Biggr)^{1/2}\tag{1} \] and its equivalent form \[ \int^\infty_0 \Biggl(\int^\infty_0 {f(x)\over x+y} dx\Biggr)^2 dy\leq \pi^2\int^\infty_0 f^2(x)dx\tag{2} \] are ...
openaire   +2 more sources

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals

Heliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha, Tasawar Abbas, Zhixiong Li, Amor Rebey, Affaq Ahmed, Sanaa Anjum   +5 more
doaj   +1 more source

Design for flexibility: An adjustable robust optimization approach with decision‐dependent uncertainty

AIChE Journal, EarlyView.
ABSTRACT Flexibility is a crucial characteristic of industrial systems that face increasing volatilities and is therefore essential to ensure feasible operation under uncertainty. Flexibility is often closely tied to the design of a system, and careful consideration must be taken to understand the trade‐off between design cost and operational ...
Jnana Sai Jagana, Sreekanth Rajagopalan, Satyajith Amaran, Qi Zhang   +3 more
wiley   +1 more source

Some Opial-type integral inequalities via (p,q) $(p,q)$-calculus

Journal of Inequalities and Applications, 2019
In this paper, we introduce a new Opial-type inequality by using (p,q) $(p,q)$-calculus and establish some integral inequalities. We find a (p,q) $(p,q)$-generalization of a Steffensens-type integral inequality and some other inequalities.
Md. Nasiruzzaman, Aiman Mukheimer, M. Mursaleen   +2 more
doaj   +1 more source

On a Szegö type limit theorem, the Hölder-Young-Brascamp-Lieb inequality, and the asymptotic theory of integrals and quadratic forms of stationary fields [PDF]

, 2008
Florin Avram, Nikolai Leonenko, Lyudmyla Sakhno   +2 more
openalex   +1 more source

Stochastic optimization of Power‐to‐Methanol: Production cost sensitivity to process design vs. scheduling

AIChE Journal, EarlyView.
Abstract Under time‐varying electricity prices, the production costs of Power‐to‐X processes with intermediate storage can be reduced by simultaneously optimizing the process unit design and size with their scheduling and operation. However, the production cost sensitivity to optimal process design or scheduling is unclear, especially when several ...
Simone Mucci, Dominik Bongartz
wiley   +1 more source

On a New Hilbert-Hardy-Type Integral Operator and Applications

Journal of Inequalities and Applications, 2010
By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained.
Yang Bicheng, Liu Xingdong
doaj  

Integral inequalities related to Hardy's inequality

Aequationes Mathematicae, 1985
Hardy's classical inequality \[ \int^{\infty}_{0}(x^{-1}F(x))^ pdx\leq (p/(p-1))^ p\int^{\infty}_{0}(f(x))^ pdx, \] where \(f\geq 0\), \(F(x)=\int^{x}_{0}f(t)dt\) and ...
Mohapatra, R.N., Russel, D.C.
openaire   +2 more sources