A survey on cauchy-bunyakovsky-schwarz inequality for power series

Alawiah Ibrahim, Silvestru Sever Dragomir

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

In this paper, we present a survey of some recent results for the celebrated Cauchy-Bunyakovsky-Schwarz inequality for functions defined by power series with nonnegative coefficients. Particular examples for fundamental functions of interest are presented. Applications for some special functions are given as well.

Original languageEnglish
Title of host publicationAnalytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava
PublisherSpringer New York
Pages247-295
Number of pages49
Volume9781493902583
ISBN (Print)9781493902583, 1493902571, 9781493902576
DOIs
Publication statusPublished - 1 Nov 2013
Externally publishedYes

Fingerprint

Cauchy-Schwarz inequality
Power series
Special Functions
Non-negative
Coefficient

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ibrahim, A., & Dragomir, S. S. (2013). A survey on cauchy-bunyakovsky-schwarz inequality for power series. In Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava (Vol. 9781493902583, pp. 247-295). Springer New York. https://doi.org/10.1007/978-1-4939-0258-3_10

A survey on cauchy-bunyakovsky-schwarz inequality for power series. / Ibrahim, Alawiah; Dragomir, Silvestru Sever.

Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava. Vol. 9781493902583 Springer New York, 2013. p. 247-295.

Research output: Chapter in Book/Report/Conference proceedingChapter

Ibrahim, A & Dragomir, SS 2013, A survey on cauchy-bunyakovsky-schwarz inequality for power series. in Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava. vol. 9781493902583, Springer New York, pp. 247-295. https://doi.org/10.1007/978-1-4939-0258-3_10
Ibrahim A, Dragomir SS. A survey on cauchy-bunyakovsky-schwarz inequality for power series. In Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava. Vol. 9781493902583. Springer New York. 2013. p. 247-295 https://doi.org/10.1007/978-1-4939-0258-3_10
Ibrahim, Alawiah ; Dragomir, Silvestru Sever. / A survey on cauchy-bunyakovsky-schwarz inequality for power series. Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava. Vol. 9781493902583 Springer New York, 2013. pp. 247-295
@inbook{28bb3965fb97410a89178e51f9cdcf97,
title = "A survey on cauchy-bunyakovsky-schwarz inequality for power series",
abstract = "In this paper, we present a survey of some recent results for the celebrated Cauchy-Bunyakovsky-Schwarz inequality for functions defined by power series with nonnegative coefficients. Particular examples for fundamental functions of interest are presented. Applications for some special functions are given as well.",
author = "Alawiah Ibrahim and Dragomir, {Silvestru Sever}",
year = "2013",
month = "11",
day = "1",
doi = "10.1007/978-1-4939-0258-3_10",
language = "English",
isbn = "9781493902583",
volume = "9781493902583",
pages = "247--295",
booktitle = "Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava",
publisher = "Springer New York",

}

TY - CHAP

T1 - A survey on cauchy-bunyakovsky-schwarz inequality for power series

AU - Ibrahim, Alawiah

AU - Dragomir, Silvestru Sever

PY - 2013/11/1

Y1 - 2013/11/1

N2 - In this paper, we present a survey of some recent results for the celebrated Cauchy-Bunyakovsky-Schwarz inequality for functions defined by power series with nonnegative coefficients. Particular examples for fundamental functions of interest are presented. Applications for some special functions are given as well.

AB - In this paper, we present a survey of some recent results for the celebrated Cauchy-Bunyakovsky-Schwarz inequality for functions defined by power series with nonnegative coefficients. Particular examples for fundamental functions of interest are presented. Applications for some special functions are given as well.

UR - http://www.scopus.com/inward/record.url?scp=84929850266&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929850266&partnerID=8YFLogxK

U2 - 10.1007/978-1-4939-0258-3_10

DO - 10.1007/978-1-4939-0258-3_10

M3 - Chapter

SN - 9781493902583

SN - 1493902571

SN - 9781493902576

VL - 9781493902583

SP - 247

EP - 295

BT - Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava

PB - Springer New York

ER -