Kayar, ZeynepKaymakçalan, Billur2023-01-122023-01-122022-10Kayar, Zeynep; Kaymakçalan, Billur (2022). "Some Extended Nabla and Delta Hardy-Copson Type Inequalities with Applications in Oscillation Theory", BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, Vol. 48, No. 5, pp. 2407-2439.1017-060X1735-8515http://hdl.handle.net/20.500.12416/6042We extend classical nabla and delta Hardy-Copson type inequalities from zeta > 1 to 0 < zeta < 1 and also use these novel inequalities to find necessary and sufficient condition for the nonoscillation of the related half linear dynamic equations. Since ordinary differential equations and difference equations are special cases of dynamic equations, our results cover these equations as well. Moreover, the obtained inequalities are not only novel but also unify the continuous and discrete cases for which the case 0 < zeta < 1 has not been considered so far.enginfo:eu-repo/semantics/closedAccessTime Scale CalculusHardy's InequalityCopson's InequalityOscillation of Half Linear Dynamic Equationsarticle48524072439