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Generalization of an Inequality for Integral Transforms with Kernel and Related Results (CROSBI ID 180865)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Iqbal, Sajid ; Pečarić, Josip ; Zhou, Yong Generalization of an Inequality for Integral Transforms with Kernel and Related Results // Journal of inequalities and applications, 2010 (2010), 948430, 17. doi: 10.1155/2010/948430

Podaci o odgovornosti

Iqbal, Sajid ; Pečarić, Josip ; Zhou, Yong

engleski

Generalization of an Inequality for Integral Transforms with Kernel and Related Results

We establish a generalization of the inequality introduced by Mitrinović and Pečarić in 1988. We prove mean value theorems of Cauchy type for that new inequality by taking its difference. Furthermore, we prove the positive semidefiniteness of the matrices generated by the difference of the inequality which implies the exponential convexity and logarithmic convexity. Finally, we define new means of Cauchy type and prove the monotonicity of these means.

integral transforms ; kernel

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Podaci o izdanju

2010

2010.

948430

17

objavljeno

1025-5834

1029-242X

10.1155/2010/948430

Povezanost rada

Matematika

Poveznice
Indeksiranost