Accurate Approximations of the Weighted Exponential Beta Function

Silvestru Sever Dragomir () and Farzad Khosrowshahi ()
Additional contact information
Silvestru Sever Dragomir: Victoria University, College of Engineering & Science
Farzad Khosrowshahi: Victoria University, College of Engineering & Science

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 139-163 from Springer

Abstract: Abstract In this chapter, we provide several error bounds in approximating the Weighted Exponential Beta function F α , β ; γ : = ∫ 0 1 exp γ x α 1 − x β d x , $$\displaystyle F\left ( \alpha ,\beta ;\gamma \right ) :=\int _{0}^{1}\exp \left [ \gamma x^{\alpha }\left ( 1-x\right ) ^{\beta }\right ] dx, $$ where α, β and γ are positive numbers, with some simple quadrature rules of Beta-Taylor, Ostrowski and Trapezoid type.

Keywords: Beta function; Taylor’s expansion; Ostrowski’s inequality; Trapezoid quadrature rules; Error bounds; 26D15 (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_8

Ordering information: This item can be ordered from
http://www.springer.com/9783030606220

DOI: 10.1007/978-3-030-60622-0_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().