Estimation of the Unknown Function of Integral Inequality with Power Function and its Application

Wu Sheng Wang; Tian Su

doi:10.4028/www.scientific.net/AMR.1008-1009.1505

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1008-1009Estimation of the Unknown Function of Integral...

Estimation of the Unknown Function of Integral Inequality with Power Function and its Application

Abstract:

In this paper, we establish a new weakly singularity integral inequality with two variables, which generalize the unknown function with a variable to composite function of power function with unknown function with two variables. Under certain conditions, the estimation of unknown function is given by technique of change of variable, amplification method, integration and differentiation, discrete Jensen inequality and inequality.

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Periodical:

Advanced Materials Research (Volumes 1008-1009)

Pages:

1505-1508

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1008-1009.1505

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Online since:

August 2014

Authors:

Wu Sheng Wang*, Tian Su

Keywords:

Discrete Jensen Inequality, Estimation of Solution, Hölder Inequality, Power Function, Weakly Singularity Integral Inequality

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