TY - JOUR T1 - Sequential Abstract Generalized Right Side Fractional Landau Inequalities AU - Anastassıou, George PY - 2021 DA - September DO - 10.33205/cma.817692 JF - Constructive Mathematical Analysis JO - CMA PB - Tuncer ACAR WT - DergiPark SN - 2651-2939 SP - 274 EP - 290 VL - 4 IS - 3 LA - en AB - We give uniform and Lp Caputo-Bochner abstract sequential generalized right fractional Landau inequalities over $\mathbb{R}_{-}$. These estimates the size of second and third sequential abstract generalized right fractional derivatives of a Banach space valued function over $\mathbb{R}_{-}$. We give an application when the basic fractional order is 1 KW - Sequential abstract generalized right fractional Landau inequality KW - inequalities KW - fractional integral CR - A. A. Aljinovic, Lj. Marangunic and J. Pecaric: On Landau type inequalities via Ostrowski inequalities, Nonlinear Funct. Anal. Appl., 10 (4) (2005), 565-579. CR - G. A. Anastassiou, Fractional Differentiation inequalities, Research monograph, Springer, New York, (2009). CR - G. A. Anastassiou: Advances on Fractional Inequalities, Springer, New York, (2011). CR - G. A. Anastassiou: Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations, Springer, Heidelberg, New York, (2018). CR - N. S. Barnett, S. S. Dragomir: Some Landau type inequalities for functions whose derivatives are of locally bounded variation, Tamkang Journal of Mathematics, 37, (4), 301-308, winter (2006). CR - Z. Ditzian: Remarks, questions and conjectures on Landau-Kolmogorov-type inequalities, Math. Inequal. Appl., 3 (2000), 15-24. CR - G. H. Hardy, J.E. Littlewood: Some integral inequalities connected with the calculus of variations, Quart. J. Math. Oxford Ser. 3 (1932), 241-252. CR - G. H. Hardy, E. Landau and J.E. Littlewood: Some inequalities satisfied by the integrals or derivatives of real or analytic functions, Math. Z., 39 (1935), 677-695. CR - R. R. Kallman, G. C. Rota: On the inequality ||f′||2 ≤ 4 ||f|| ||f′′||, in Inequalities, Vol. II, (O. Shisha, Ed.), 187-192, Academic Press, New York, (1970). CR - E. Landau: Einige Ungleichungen für zweimal differentzierban funktionen, Proc. London Math. Soc., 13 (1913), 43-49. CR - J. Mikusinski: The Bochner integral, Academic Press, New York, (1978). CR - G. E. Shilov: Elementary Functional Analysis, Dover Publications Inc., New York, (1996). UR - https://doi.org/10.33205/cma.817692 L1 - https://dergipark.org.tr/en/download/article-file/1368551 ER -