Results 101 to 110 of about 2,050 (154)

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  

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  

Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

Special Matrices, 2018
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
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 Hardy type inequalities on the Carnot Group [PDF]

arXiv, 2005
In this paper we establish sharp weighted Hardy type inequalities on the Carnot group with homogeneous dimension $Q\ge 3$.
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

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

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

Demonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj   +1 more source

Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales

Demonstratio Mathematica
Reverse Pachpatte-type inequalities are concave generalizations of the well-known Bennett-Leindler-type inequalities. We establish reverse nabla Pachpatte-type dynamic inequalities taking account of concavity.
Kayar Zeynep, Kaymakçalan Billur
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