Inequalities for classical orthogonal polynomials

Author

Grinshpan, Arcadii Z.

Source

The Arabian Journal for Science and Engineering. D, Mathematics

Issue

Vol. 34, Issue 1D (31 May. 2009), pp.83-94, 12 p.

Publisher

King Fahd University of Petroleum and Minerals

Publication Date

2009-05-31

Country of Publication

Saudi Arabia

No. of Pages

12

Main Subjects

Mathematics

Topics

Abstract AR

نناقش بعض المتباينات التكاملية و التقديرات لكثيرات الحدود المتعامدة التقليدية.

أثبتت هذه المتباينات باستخدام المتباينة العامة للمؤلف في مجال المتجهات المركبة و الأوزان ذات الحدين.

تتعلق النتائج المعروضة بكثيرات حدود جاكوبي و ججنباور و شبيشف و لجندر و لاجير و هرميت.

Abstract EN

Some integral inequalities and estimates for the classical orthogonal polynomials are discussed.

They have been proved via the author’s general inequality for complex vectors and binomial weights.

The presented results involve the Jacobi, Gegenbauer, Chebyshev, Legendre, Laguerre, and Hermite polynomials.

American Psychological Association (APA)

Grinshpan, Arcadii Z.. 2009. Inequalities for classical orthogonal polynomials. The Arabian Journal for Science and Engineering. D, Mathematics،Vol. 34, no. 1D, pp.83-94.
https://search.emarefa.net/detail/BIM-546068

Modern Language Association (MLA)

Grinshpan, Arcadii Z.. Inequalities for classical orthogonal polynomials. The Arabian Journal for Science and Engineering. D, Mathematics Vol. 34, no. 1D (May. 2009), pp.83-94.
https://search.emarefa.net/detail/BIM-546068

American Medical Association (AMA)

Grinshpan, Arcadii Z.. Inequalities for classical orthogonal polynomials. The Arabian Journal for Science and Engineering. D, Mathematics. 2009. Vol. 34, no. 1D, pp.83-94.
https://search.emarefa.net/detail/BIM-546068

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 93

Record ID

BIM-546068