Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity | Zendy

‎Josip Pečarić | Zendy; Mihaela Ribičić Penava | Zendy

Open Access

Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity

Author(s) -

‎Josip Pečarić,

Mihaela Ribičić Penava

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/343191

Subject(s) - mathematics , generalization , quadrature (astronomy) , identity (music) , inequality , pure mathematics , gauss–kronrod quadrature formula , mathematical analysis , calculus (dental) , integral equation , nyström method , physics , electrical engineering , acoustics , engineering , medicine , dentistry

We consider families of general four-point quadratureformulae using a generalization of the Montgomery identity via Taylor’sformula. The results are applied to obtain some sharp inequalities for functionswhose derivatives belong to spaces. Generalizations of Simpson’s3/8 formula and the Lobatto four-point formula with related inequalities areconsidered as special cases

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