A main inequality for several special functions

DOI10.1016/j.camwa.2010.06.007zbMath1201.33001OpenAlexW2041100523MaRDI QIDQ611458

Mohammad Masjed-Jamei

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.06.007

zbMATH Keywords

Riemann zeta functionelliptic integralsA generalization of Cauchy-Bunyakovsky-Schwarz inequalityclassical special functionsLaplace and Fourier integral transforms

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (13)

New inequalities of Wilker's type for circular functions ⋮ A method to prove inequalities and its applications ⋮ Inequalities related to certain inverse trigonometric and inverse hyperbolic functions ⋮ A generic inequality for basic special functions ⋮ New double inequality of Masjed-Jamei-type ⋮ Power series inequalities via Young's inequality with applications ⋮ Remarks on a main inequality for several special functions ⋮ Monotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functions ⋮ Natural approximation of Masjed-Jamei's inequality ⋮ Inequalities between the inverse hyperbolic tangent and the inverse sine and the analogue for corresponding functions ⋮ New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions ⋮ Some inequalities for power series with applications ⋮ Power series inequalities related to Young's inequality and applications

Cites Work

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• Some generalizations of the Cauchy-Schwarz and the Cauchy-Bunyakovsky inequalities involving four free parameters and their applications
• A functional generalization of the Cauchy-Schwarz inequality and some subclasses
• On the Cauchy-Schwarz inequality
• Remark on refinement of the Cauchy-Schwarz inequality
• Generalization of the Cauchy-Schwarz inequality
• On a Generalization of the Cauchy-Schwarz Inequality

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