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SOME DIAMOND INTEGRAL REVERSE HÖLDER-TYPE INEQUALITIES ASSOCIATED WITH SPECHT’S RATIO ON TIME SCALES
Preview AbstractThis paper is devoted to studying some new reverse Hölder-type inequalities associated with the dynamic integral called diamond on time scale, which is expressed as an ‘approximate’ symmetric integral on time scales. Some related inequalities are also presented. The obtained inequalities extend known results related with discrete and continuous forms.
Some norm and operator inequalities to improved AM-GM inequality with Specht’s ratio
Preview AbstractIn this paper, we present a refinement of the well-known arithmetic-geometric mean inequality. As application of our result, we obtain an operator inequality. We give an improvement of the inequality presented by Kittaneh for the numerical radius.