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New coupled order Hadamard operators and some applications. (English) Zbl 1411.26017

Summary: In this paper, we introduce new Hadamard type operators “with respect to another function”. Some properties of the introduced operators are proved and some applications are discussed. For our results, some recent results related to Hadamard operators are deduced as some special cases.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
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