Estimates for the arctangent function related to Shafer's inequality

Cristinel Mortici; H. M. Srivastava

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On the universal constant in the Katz-Petrov and Osipov inequalities

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Upper estimates are presented for the universal constant in the Katz-Petrov and Osipov inequalities which do not exceed 3.1905.

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Vadim Komkov (1974)

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L. E. Payne (1985)

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A note on the Hörmander, Donnelly-Fefferman, and Berndtsson L²-estimates for the ∂̅-operator

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Inequalities of DVT-type -- the one-dimensional case

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In this note, particular inequalities of DVT-type in real and integer numbers are investigated.

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Harnachk Inequalities for Solutions of General Second Order Parabolic Equations and Estimates of Their Hölder Constants.

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Estimates of the distance of two solutions based on the theory of generalized differential equations

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Multilinear Hölder-type inequalities on Lorentz sequence spaces

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We establish Hölder-type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals.