Results 91 to 100 of about 2,031 (186)

Some new generalized forms of Hardy's type inequality on time scales

, 2017
In this paper, we prove some new dynamic inequalities from which some known dynamic inequalities on time scales, some integral and discrete inequalities due to Hardy, Copson, Chow, Levinson, Pachpatte Yang and Hwang will be deduced as special cases. Also,
S. Saker, R. R. Mahmoud, M. M. Osman, R. Agarwal   +3 more
semanticscholar   +1 more source

On a discrete version of Fejér inequality for α-convex sequences without symmetry condition

Demonstratio Mathematica
In this study, we introduce the notion of α\alpha -convex sequences which is a generalization of the convexity concept. For this class of sequences, we establish a discrete version of Fejér inequality without imposing any symmetry condition. In our proof,
Jleli Mohamed, Samet Bessem
doaj   +1 more source

A higher order Weierstrass approximation theorem - a new proof [PDF]

arXiv, 2004
An technically interesting proof of a known theorem.
arxiv  

On η-convexity

, 2017
Some basic inequalities related to η -convex functions are proved. Also we investigate the famous Hermite-Hadamard, Fejer, Jensen and Slater type inequalities for this class of functions.
M. R. Delavar, S. Dragomir
semanticscholar   +1 more source

Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]

Results Phys, 2023
Chu YM, Rashid S, Akdemir AO, Khalid A, Baleanu D, Al-Sinan BR, Elzibar OAI.   +6 more
europepmc   +1 more source

Study of some new integral inequalities involving four adaptable functions

Annals of the West University of Timisoara: Mathematics and Computer Science
In this article, we establish new and flexible integral inequalities that have the property of involving four adaptable functions. Some of them generalize existing results in the literature.
Chesneau Christophe
doaj   +1 more source

Quadratic Reverses of the Triangle Inequality in Inner Product Spaces [PDF]

arXiv, 2004
Some sharp quadratic reverses for the generalised triangle inequality in inner product spaces and applications are given.
arxiv  

New integral inequalities involving beta function via $P$-convexity

, 2014
In this note we establish some estimates, involving the Euler Beta function, of the integral R b a .x a/ p.b x/qf .x/dx for functions when a power of the absolute value isP convex. An extension to functions of several variables is also obtained.
Wenjun Liu
semanticscholar   +1 more source

Sharp Sobolev Inequalities via Projection Averages. [PDF]

J Geom Anal, 2021
Kniefacz P, Schuster FE.
europepmc   +1 more source

Ramanujan's Perimeter of an Ellipse [PDF]

arXiv, 2005
We present a detailed error analysis of Ramanujan's most accurate approximation to the perimeter of an ellipse.
arxiv