Results 81 to 90 of about 1,290 (131)

Some new Fejér type inequalities for (h, g; α - m)-convex functions

Open Mathematics
The study of (h,g;α−m)\left(h,g;\hspace{1.42271pt}\alpha -m)-convex functions extends the classical concept of convexity to more generalized forms, which provide flexible tools for analysis.
Farid Ghulam, Kovač Sanja, Pečarić Josip, Penava Mihaela Ribičić   +3 more
doaj   +1 more source

A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]

Fract Calc Appl Anal, 2023
Lan K, Webb JRL.
europepmc   +1 more source

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Open Mathematics
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet, Meftah Badreddine, Lakhdari Abdelghani, Alqudah Manar A.   +3 more
doaj   +1 more source

Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations

Journal of Inequalities and Applications, 2011
In this paper, some new nonlinear integral inequalities are established, which provide a handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations.
Zheng Bin, Feng Qinghua
doaj  

Boundedness of positive operators on weighted amalgams

Journal of Inequalities and Applications, 2011
In this article, we characterize the pairs (u, v) of positive measurable functions such that T maps the weighted amalgam in (Lp (u), ℓ q ) for all , where T belongs to a class of positive operators which includes Hardy operators, maximal ...
Aguilar Cañestro María Isabel, Ortega Salvador Pedro   +1 more
doaj  

On parameterized inequalities for fractional multiplicative integrals

Demonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng, Meftah Badreddine, Xu Hongyan, Jarad Fahd, Lakhdari Abdelghani   +4 more
doaj   +1 more source

Opial inequality in q-calculus. [PDF]

J Inequal Appl, 2018
Mirković TZ, Tričković SB, Stanković MS.   +2 more
europepmc   +1 more source

An estimate on the Bedrosian commutator in Sobolev space. [PDF]

J Inequal Appl, 2018
Oliver M.
europepmc   +1 more source

Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials

Advanced Nonlinear Studies
The purpose of this paper is three-fold. First, we establish singular Trudinger–Moser inequalities with less restrictive constraint:(0.1)supu∈H1(R2),∫R2(|∇u|2+V(x)u2)dx≤1∫R2e4π1−β2u2−1|x ...
Zhang Caifeng, Zhu Maochun
doaj   +1 more source

Different types of quantum integral inequalities via ( α , m ) -convexity. [PDF]

J Inequal Appl, 2018
Zhang Y, Du TS, Wang H, Shen YJ.
europepmc   +1 more source