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New Minkowski and related inequalities via general kernels and measures

New Minkowski and related inequalities via general kernels and measures

Abstract In this article, we introduce a class of functions $\mathfrak{U}(\mathfrak{p})$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>U</mml:mi> <mml:mo>(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>)</mml:mo> </mml:math> with integral representation defined over a measure space with σ -finite measure. The main purpose of this paper is to extend the Minkowski and related inequalities by considering general kernels. As a …