Results 101 to 110 of about 1,946 (136)

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

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  

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  

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

A note on the Menchov-Rademacher Inequality [PDF]

Bulletin of the Polish Academy; Vol. 54, No. 1, 2006, 2006
We improve constants in the Rademacher-Menchov inequality.
arxiv  

Some vector inequalities for two operators in Hilbert spaces with applications

Acta Universitatis Sapientiae: Mathematica, 2016
In this paper we establish some vector inequalities for two operators related to Schwarz and Buzano results. We show amongst others that in a Hilbert space H we have the inequality 12[〈|A|2+|B|22x,x〉1/2〈|A|2+|B|22y,y〉1/2+|〈|A|2+|B|22x,y〉|]≥|〈Re (B*A) x,y〉
Dragomir Sever S.
doaj   +1 more source

A Note on Sums of Powers [PDF]

arXiv, 2007
We improve a result of Bennett concerning certain sequences involving sums of powers of positive integers.
arxiv  

A more accurate multidimensional Hardy-Hilbert-type inequality

Journal of King Saud University: Science, 2019
In this paper, by means of the weight coefficients, the transfer formula, Hermite-Hadamard’s inequality and the technique of real analysis, a more accurate multidimensional Hardy-Hilbert-type inequality with a best possible constant factor is given ...
Bicheng Yang
doaj