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| Title: | Advances in Inequalities for Special Functions
|
| Author: | Pietro Cerone & Sever S Dragomir (eds) |
| ISBN: | 1600219195 : 9781600219191 |
| Illustrations: | colour tables & charts |
| Format: | Hardback |
| Size: | 180x260mm |
| Pages: | 170 |
| Weight: | .542 Kg. |
| Published: | Nova Science Publishers - September 2007 |
| List Price: | 59.5 Pounds Sterling |
| Availability: | In Print |
| Subjects: | MATHEMATICS |
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 utilises the classical Stevensen inequality and bounds for the ˇCebyˇsev 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.
Preface; Special Function., Approximations and Bounds via Integral Representation; Inequalities for Positive Dirichlet Series; Monotonicity of the Mean Value Function of Normalized Bessel Functions of First Kind; Sturm Theory for Some Classes of Sturm-Liouville Equations and Inequalities and Monotonicity Properties for the Zeros of Bessel Functions; Inequalities for the Gamma Function via Convexity; Some Inequalities for Hyper erharmonic Series; The Hermite-Hadamard Inequalities for Double Dirichlet Averages and Their Applications to Special Functions; On New Inequalities Involving Convex Functions; On Certain Special Functions of Number Theory and Mathematical Analysis; On the Operator Related to the Bessel-wave Equation and Laplacian-Bessel; Inequalities for Walsh Polynomials with Semi-monotone Coefficients of Higher Order; Index.
