𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Extension of Carlson's Inequality

✍ Scribed by Kuang Jichang; Lokenath Debnath


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
64 KB
Volume
267
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


An extension of Carlson's inequality is made by using the Euler-Maclaurin summation formula. The integral analogues of this inequality are also presented.  2002 Elsevier Science (USA)


πŸ“œ SIMILAR VOLUMES


An extension of Janson's inequality
✍ MaΕ‚gorzata Roos πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 521 KB

## An upper bound for P[W=O], where W is a sum of indicator variables with a special structure, which appears, for example, in subgraph counts in random graphs, is derived. Furthermore, its applications to a problem of k-runs and a random graph problem are given. The result is a generalization and

An extension of an inequality of I. Schu
✍ Geno Nikolov πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 241 KB

## Abstract Denote by Ο€~__n__~ the set of all algebraic polynomials of degree at most n with complex coefficients. An inequality of I. Schur asserts that the first derivative of the transformed Tchebycheff polynomial $\overline {T}\_n (x) = T\_n (x \, \rm {cos} \, {{\pi} \over {2n}})$ has the great

Extensions of Steffensen's Inequality
✍ Peter R. Mercer πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 56 KB

We offer a new proof of the well-known Steffensen Inequality, whose context is sufficiently general that it engenders a number of extensions.

Refinements and Extensions of an Inequal
✍ Young-Ho Kim πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 54 KB

In this article, using the properties of the power mean, the author proves the inequality ' 1 2 2 valid for any two nonnegative quantities a and a . We shall begin our 1 2 consideration of results which are not as immediately apparent by dis-