Generalization of an Inequality for Integral Transforms with Kernel and Related Results (CROSBI ID 180865)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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