Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications
Joint Authors
Debnath, Lokenath
Yang, Bicheng
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-22
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
This paper deals with recent developments of Hilbert-type discrete and integral inequalities by introducing kernels, weight functions, and multiparameters.
Included are numerous generalizations, extensions, and refinements of Hilbert-type inequalities involving many special functions such as beta, gamma, logarithm, trigonometric, hyper-bolic, Bernoulli's functions and Bernoulli's numbers, Euler's constant, zeta function, and hypergeometric functions with many applications.
Special attention is given to many equivalent inequalities and to conditions under which the constant factors involved in inequalities are the best possible.
Many particular cases of Hilbert-type inequalities are presented with numerous applications.
A large number of major books and recent research papers published during 2009–2012 are included to stimulate new interest in future study and research.
American Psychological Association (APA)
Debnath, Lokenath& Yang, Bicheng. 2012. Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-505053
Modern Language Association (MLA)
Debnath, Lokenath& Yang, Bicheng. Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-29.
https://search.emarefa.net/detail/BIM-505053
American Medical Association (AMA)
Debnath, Lokenath& Yang, Bicheng. Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-505053
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505053