Lipschitz Type Inequalities for Monotonic Integral Transform of Positive Operators With Applications

January 1, 2023Open Access

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Key Points

The aim is to explore Lipschitz type inequalities related to monotonic integral transforms of positive operators.
Analyzed continuous and positive functions under defined conditions.
Considered monotonic integral transforms involving positive measures and operators.
Derived inequalities using mathematical analysis techniques.
Established new Lipschitz inequalities for specified classes of operators.
Demonstrated the conditions under which these inequalities hold.
Highlighted applications in mathematical analysis related to positive functions.

This research reveals Lipschitz inequalities for integral transformations, suggesting implications for positive operators in mathematical analysis.

For a continuous and positive function w (λ) , λ > 0 and μ a positive measure on (0,∞) we consider the following monotonic integral transform

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Silvestru Sever Dragomir (2023) studied this question.

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