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Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means

✍ Scribed by M. Alomari; M. Darus; U.S. Kirmaci

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 495 KB
Volume: 59
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.08.002

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✦ Synopsis

In this paper, some inequalities of Hadamard's type for quasi-convex functions are given. Some error estimates for the Trapezoidal formula are obtained. Applications to some special means are considered.

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Two inequalities for differentiable mapp

Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula

✍ S.S. Dragomir; R.P. Agarwal 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 230 KB

In this paper, we shall offer two inequalities for differentiable convex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions. Some natural applications to special means of real numbers are given. Finally, some error estimates for the t