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On φ−Convex Stochastic Processes and Integral Inequalities Related |
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PP: 947-956 |
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doi:10.18576/amis/140601
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Author(s) |
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Miguel J. Vivas-Cortez,
Artion Kashuri,
Jorge Eliecer Herna ́ndez Herna ́ndez,
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Abstract |
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In this paper the concept of φ−convex stochastic process is introduced and certain algebraic properties are deduced. Also, some mean square integral inequalities of Hermite-Hadamard type are established. In addition, various mean square integral inequalities are investigated to find upper estimates using of the weighted arithmetic mean, the weighted power mean of order p and the logarithmic mean.
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