Srivastava, H. M.; Tseng, Kuei-Lin; Tseng, Shio-Jenn; Lo, Jen-Chieh Some generalizations of Maroni’s inequality on time scales. (English) Zbl 1217.26069 Math. Inequal. Appl. 14, No. 2, 469-480 (2011). Summary: The familiar Opial inequality is of great interest in differential and difference equations, and is also potentially useful in other areas of mathematical sciences. In an earlier work, we systematically investigated several general Opial-type inequalities on time scales. Here, in this sequel, we propose to present some extensions and generalizations of Maroni’s inequality to hold true on time scales. Cited in 17 Documents MSC: 26E70 Real analysis on time scales or measure chains 26D15 Inequalities for sums, series and integrals 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable Keywords:Opial’s inequality; Maroni’s inequality; extremal functions; Hölder’s inequality; time scales; rd-continuous functions; delta differentiability; absolute continuity PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Math. Inequal. Appl. 14, No. 2, 469--480 (2011; Zbl 1217.26069) Full Text: DOI