Name
Abstract | ||
|---|---|---|
By using a recent generalization of the Cauchy-Schwarz inequality we obtain several new inequalities for some basic special functions such as beta and incomplete beta functions, gamma, polygamma and incomplete gamma functions, error functions, various kinds of Bessel functions, exponential integral functions, Gauss hypergeometric and confluent hypergeometric functions, elliptic integrals, moment generating functions and the Riemann zeta function. We also apply the generalized Cauchy-Schwarz inequality to some classical integral transforms. All these new inequalities obey the general form f^2(x)@?k(x)f(px+q)f((2-p)x-q), in which p,q are real parameters and k(x) is a specific positive function. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.camwa.2010.06.007 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
bessel function,elliptic integrals,new inequality,exponential integral function,cauchy-schwarz inequality,riemann zeta function,elliptic integral,classical special functions,basic special function,laplace and fourier integral transforms,error function,confluent hypergeometric function,main inequality,gauss hypergeometric,a generalization of cauchy–bunyakovsky–schwarz inequality,integral transforms,special functions,incomplete beta function,moment generating function,incomplete gamma function,exponential integrator | Hypergeometric function,Meijer G-function,Addition theorem,Confluent hypergeometric function,Mathematical analysis,Theta function,Incomplete gamma function,Generalized hypergeometric function,Barnes integral,Mathematics | Journal |
Volume | Issue | ISSN |
60 | 5 | Computers and Mathematics with Applications |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad Masjed-Jamei | 1 | 15 | 8.03 |