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The Steffensen's Inequality was discovered in 1918 by Johan Frederic Steffensen (1873-1961). This inequality is very popular in the research environment and attracted the attention of many people working in similar area. Various extensions and generalisations have been provided concerning the inequality. This paper presents some further refinements of the Steffensen's Inequality on Time scales using methods of convexity, differentiability and monotonicity.
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참고문헌 (21)
참고문헌 신청
D.R. Anderson / 2005 / Time-Scale Integral Inequalities / J. Ineq. Pure and Appl. Math 6(3):66
R. Bellman / 1959 / On inequalities with alternating signs / proc. Amer. Math. Soc 10:807~809
M. Bohner / 2001 / Dynamical Equations on Time Scales - An Intro-duction with Applications, Lecture Notes
C. Dinu / 2008 / Convex Functions on Time Scales, Annals of the University of Craiova / Math. Comp. Sci. Ser 35:87~96
E. K. Godunova / 1968 / A general class of inequalities containing Stef-fensen's inequality / Mat. Zametki 3:339~344
R. Bellman / 1959 / On inequalities with alternating signs / proc. Amer. Math. Soc 10:807~809
M. Bohner / 2001 / Dynamical Equations on Time Scales - An Intro-duction with Applications, Lecture Notes
C. Dinu / 2008 / Convex Functions on Time Scales, Annals of the University of Craiova / Math. Comp. Sci. Ser 35:87~96
E. K. Godunova / 1968 / A general class of inequalities containing Stef-fensen's inequality / Mat. Zametki 3:339~344
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