SHARP INTEGRAL INEQUALITIES BASED ON GENERAL TWO-POINT FORMULAE VIA AN EXTENSION OF MONTGOMERY’S IDENTITY-Reference-Cited by-同舟云学术

SHARP INTEGRAL INEQUALITIES BASED ON GENERAL TWO-POINT FORMULAE VIA AN EXTENSION OF MONTGOMERY’S IDENTITY

Published:2009-07 Issue:1 Volume:51 Page:67-101
ISSN:1446-1811
Container-title:The ANZIAM Journal
language:en
Short-container-title:ANZIAM J.

Author:

AGLIĆ ALJINOVIĆ A.,PEČARIĆ J.,RIBIČIĆ PENAVA M.

Abstract

AbstractWe consider families of general two-point quadrature formulae, using the extension of Montgomery’s identity via Taylor’s formula. The formulae obtained are used to present a number of inequalities for functions whose derivatives are fromLpspaces and Bullen-type inequalities.

Publisher

Cambridge University Press (CUP)

Subject

Mathematics (miscellaneous)

Reference13 articles.

1. Two-point formulae of Euler type

2. On the Čebyšev inequality;Pečarić;Bul. Inst. Politeh. Timisoara,1980

3. [7] Kovač S. and Pečarić J. E. , “Generalization of an integral formula of Guessab and Schmeisser”, submitted for publication.

4. [6] Klaričić M. and Pečarić J. , “Generalized Hadamard’s inequalities based on general 4-point formulae”, accepted for publication in ANZIAM J.

5. Error estimates for some elementary quadrature rules;Bullen;Univ. Beograd Publ. Elektrotehn. Fak. Ser. Mat. Fiz.,1978

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