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Refinement of integral inequalities for monotone functions

✍ Scribed by Saad Ihsan Butt, Josip Pečarić, Ivan Perić


Book ID
120732558
Publisher
Hindawi Publishing Corporation
Year
2012
Tongue
English
Weight
204 KB
Volume
2012
Category
Article
ISSN
1025-5834

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Integral Inequalities for Monotone Funct
✍ Josip Pečarić; Ivan Perić; Lars-Erik Persson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 218 KB

Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.

Weighted Inequalities for Monotone Funct
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Weighted norm inequalities are investigated by giving an extension of the Riesz convexity theorem to semi-linear operators on monotone functions. Several properties of the classes B@, n) and C(p, n) introduced by NEUGEBAUER in [I31 are given. In particular, we characterize the weight pairs w, v for