Results 81 to 90 of about 891 (135)

Some Companions of Ostrowski's Inequality for Absolutely Continuous Functions and Applications [PDF]

arXiv, 2003
Companions of Ostrowski's integral ineqaulity for absolutely continuous functions and applications for composite quadrature rules and for p.d.f.'s are provided.
arxiv  

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

Gruss Type Discrete Inequalities in Inner Product Spaces, Revisited [PDF]

arXiv, 2003
Some sharp inequalities of Gruss type for sequences of vectors in real or complex inner product spaces are obtained. Applications for Jensen's inequality for convex functions defined on such spaces are also provided.
arxiv  

A Generalisation of the Cassels and Greub-Reinboldt Inequalities in Inner Product Spaces [PDF]

arXiv, 2003
A generalisation of the Cassels and Greub-Reinboldt inequalities in complex or real inner product spaces and applications for isotonic linear functionals, integrals and sequences are provided.
arxiv  

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

Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality for n-tuples of Complex Numbers [PDF]

arXiv, 2003
Some new reverses of the Cauchy-Bunyakovsky-Schwarz inequality for n-tuples of real and complex numbers related to Cassels and Shisha-Mond results are given.
arxiv  

Some Hardy's inequalities on conformable fractional calculus

Demonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada, Saker Samir H., Ashry Gehad M., Zakarya Mohammed, Rezk Haytham M., Kenawy Mohammed R.   +5 more
doaj   +1 more source

Poincaré Inequalities for Mutually Singular Measures

Analysis and Geometry in Metric Spaces, 2015
Using an inverse system of metric graphs as in [3], we provide a simple example of a metric space X that admits Poincaré inequalities for a continuum of mutually singular measures.
Schioppa Andrea
doaj   +1 more source

Additive Reverses of the Generalised Triangle Inequality in Normed Spaces [PDF]

arXiv, 2004
Some additive reverses of the generalised triangle inequality in normed linear spaces are given. Applications for complex numbers are provided as well.
arxiv  

Sharp Singular Trudinger–Moser Inequalities Under Different Norms

Advanced Nonlinear Studies, 2019
The main purpose of this paper is to prove several sharp singular Trudinger–Moser-type inequalities on domains in ℝN{\mathbb{R}^{N}} with infinite volume on the Sobolev-type spaces DN,q⁢(ℝN){D^{N,q}(\mathbb{R}^{N})}, q≥1{q\geq 1}, the completion of C0 ...
Lam Nguyen, Lu Guozhen, Zhang Lu
doaj   +1 more source