Extensions of Pi Opial's inequality

DOI10.2140/pjm.1968.26.215zbMath0162.07901OpenAlexW2039743838MaRDI QIDQ2528406

Kaustuv Mukul Das, Paul R. Beesack

Publication date: 1968

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1968.26.215

zbMATH Keywords

differentiation and integration, measure theory

Related Items (21)

Two weighted higher-order dynamic inequalities of Opial type with two functions ⋮ A Lyapunov-type stability criterion using $L^\alpha $ norms ⋮ Opial-type inequalities for convex functions and associated results in fractional calculus ⋮ The distribution of zeros of solutions for a class of third order differential equation ⋮ Distributions of zeros of solutions for third-order differential equations with variable coefficients ⋮ Further generalizations of Opial's inequality ⋮ A generalization of Opial's inequality and applications to second-order dynamic equations ⋮ Unnamed Item ⋮ Elementary proofs of some Opial-type integral inequalities ⋮ The geometry of one-dimensional and spatial Hardy type inequalities ⋮ Relations for \(m\)-generalized order statistics via an Opial-type inequality ⋮ Gaps between zeros of second-order half-linear differential equations ⋮ Weighted Hardy and Opial-type inequalities ⋮ Opial-type integral inequalities involving several higher order derivatives ⋮ Some Opial-type inequalities on time scales ⋮ Lyapunov, Opial and Beesack inequalities for one-dimensional \(p(t)\)-Laplacian equations ⋮ On a Class of New Inequalities ⋮ Nonuniform nonresonance of semilinear differential equations ⋮ Opial’s inequality and oscillation of 2nd order equations ⋮ On inequalities of Lyapunov type ⋮ Some new Opial-type inequalities involving higher order derivatives

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