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Advances in Inequalities for Special Functions $150.00
Editors: Pietro Cerone and Sever S. Dragomir (School of Computer Science & Mathematics, Univ. of Victoria )
Book Description:
This book is the first in a collection of research monographs that are devoted to presenting recent research, development and use of Mathematical Inequalities for Special Functions. All the papers incorporated in the book have peen peer-reviewed and cover a range of topics that include both survey material of previously published works as well as new results.In his presentation on special functions approximations and bounds via integral representation, Pietro Cerone utilizes the classical Ste®ensen inequality and bounds for the ¡Ceby¡sev functional to obtain bounds for some classical special functions. The methodology relies on determining bounds on integrals of products of functions. The techniques are used to obtain novel and useful bounds for the Bessel function of the first kind, the Beta function, the Zeta function and Mathieu series.

Table of Contents:


Chapter 1 - Special Functions Approximations and Bounds via Integral Representation; pp. 1-35
(P. Cerone)

Chapter 2 - Inequalities for Positive Dirichlet Series; pp. 37-65 (P. Cerone and S.S. Dragomir)

Chapter 3 - Monotonicity of the Mean Value Function of Normalized Bessel Functions of First Kind; pp. 67-72
(Stamatis Koumandos)

Chapter 4 - Sturm Theory for Some Classes of Sturm-Liouville Equations and Inequalities and Monotonicity Properties for the Zeros of Bessel Functions; pp. 73-80
(Andrea Laforgia and Pierpaolo Natalini)

Chapter 5 - Inequalities for the Gamma Function via Convexity;
pp. 81-100
(Milan Merkle)

Chapter 6 - Some Inequalities for Hyperharmonic Series; pp. 101-105 (Istvan Mezo)

Chapter 7 - The Hermite-Hadamard Inequalities for Double Dirichlet Averages and Their Applications to Special Functions; pp. 107-117 (Edward Neuman)

Chapter 8 - On New Inequalities Involving Convex Functions;
pp. 119-124
(B.G. Pachpatte)

Chapter 9 - On Growth Rates of Weierstraß; pp. 125-132
(Tibor K. Pogany)

Chapter 10 - On Certain Special Functions of Number Theory and Mathematical Analysis; pp. 133-148
(Jozsef Sandor)

Chapter 11 - On the Operator Related to the Bessel-wave Equation and Laplacian-Bessel; pp. 149-160
(Mehmet Zeki Sarikaya and Huseyin Yildirim)

Chapter 12 - Inequalities for Walsh Polynomials with Semi-monotone Coefficients of Higher Order; pp. 161-167
(Zivorad Tomovski)


      Advances in Mathematical Inequalities -Sever S. Dragomir (Victoria Univ. ), Series Editor
   Binding: ebook
   Pub. Date: 2008
   ISBN: 978-1-60692-621-5
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
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Advances in Inequalities for Special Functions