On a Class of New Inequalities

DOI10.2307/1997361zbMath0302.26010OpenAlexW4237798893MaRDI QIDQ4055909

Daniel T. Shum

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997361

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (20)

Half-linear dynamic equations and investigating weighted Hardy and Copson inequalities ⋮ Weighted Hardy type inequalities and parametric Lamb equation ⋮ On certain integral inequalities related to Opial's inequality ⋮ Opial-type inequalities for convex functions and associated results in fractional calculus ⋮ On some new integral inequalities in two independent variables ⋮ On some integral inequalities similar to Hardy's inequality ⋮ Hardy and Rellich type inequalities with remainders ⋮ Elementary proofs of some Opial-type integral inequalities ⋮ On the solvability of nonlinear ordinary differential equations in grand Lebesgue spaces ⋮ Hardy's inequalities with remainders and Lamb-type equations ⋮ Weighted integral and integro-differential inequalities ⋮ A connection between weighted Hardy's inequality and half-linear dynamic equations ⋮ On Opial-type integral inequalities ⋮ The weighted Stieltjes inequality and applications ⋮ On \(l^p\) norms of weighted mean matrices ⋮ New characterizations of weights in Hardy and Opial type inequalities via solvability of dynamic equations ⋮ Opial inequality in \(q\)-calculus ⋮ Weighted estimates involving a function and its derivatives ⋮ Hardy type inequalities and parametric Lamb equation ⋮ Inequalities involving fractional integrals of a function and its derivative

Cites Work

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• Integral inequalities of the Wirtinger type
• Hardy's inequality and its extensions
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• Sur une inégalité
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• Elementary Proofs of the Extremal Properties of the Eigenvalues of the Sturm-Liouville Equation
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• On an Inequality of Opial, Beesack and Levinson
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• Some Generalizations of Opial's Inequality
• A Discrete Analogue of Opial's Inequality
• On a certain result of Z. Opial
• Shorter Notes: An Even Simpler Proof of Opial's Inequality
• On a Discrete Analogue of Inequalities of Opial and Yang
• On Certain Discrete Inequalities involving Partial Sums
• An Inequality Similar to Opial's Inequality
• Analytic Inequalities
• On Integral Inequalities Related to Hardy's
• Integral Inequalities Involving a Function and Its Derivative
• On an Integral Inequality of Z. Opial

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