Research Article

Sequential Abstract Generalized Right Side Fractional Landau Inequalities

Volume: 4 Number: 3 September 16, 2021
EN

Sequential Abstract Generalized Right Side Fractional Landau Inequalities

Abstract

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

Keywords

References

  1. A. A. Aljinovic, Lj. Marangunic and J. Pecaric: On Landau type inequalities via Ostrowski inequalities, Nonlinear Funct. Anal. Appl., 10 (4) (2005), 565-579.
  2. G. A. Anastassiou, Fractional Differentiation inequalities, Research monograph, Springer, New York, (2009).
  3. G. A. Anastassiou: Advances on Fractional Inequalities, Springer, New York, (2011).
  4. G. A. Anastassiou: Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations, Springer, Heidelberg, New York, (2018).
  5. 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).
  6. Z. Ditzian: Remarks, questions and conjectures on Landau-Kolmogorov-type inequalities, Math. Inequal. Appl., 3 (2000), 15-24.
  7. G. H. Hardy, J.E. Littlewood: Some integral inequalities connected with the calculus of variations, Quart. J. Math. Oxford Ser. 3 (1932), 241-252.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 16, 2021

Submission Date

October 28, 2020

Acceptance Date

June 15, 2021

Published in Issue

Year 2021 Volume: 4 Number: 3

APA
Anastassıou, G. (2021). Sequential Abstract Generalized Right Side Fractional Landau Inequalities. Constructive Mathematical Analysis, 4(3), 274-290. https://doi.org/10.33205/cma.817692
AMA
1.Anastassıou G. Sequential Abstract Generalized Right Side Fractional Landau Inequalities. CMA. 2021;4(3):274-290. doi:10.33205/cma.817692
Chicago
Anastassıou, George. 2021. “Sequential Abstract Generalized Right Side Fractional Landau Inequalities”. Constructive Mathematical Analysis 4 (3): 274-90. https://doi.org/10.33205/cma.817692.
EndNote
Anastassıou G (September 1, 2021) Sequential Abstract Generalized Right Side Fractional Landau Inequalities. Constructive Mathematical Analysis 4 3 274–290.
IEEE
[1]G. Anastassıou, “Sequential Abstract Generalized Right Side Fractional Landau Inequalities”, CMA, vol. 4, no. 3, pp. 274–290, Sept. 2021, doi: 10.33205/cma.817692.
ISNAD
Anastassıou, George. “Sequential Abstract Generalized Right Side Fractional Landau Inequalities”. Constructive Mathematical Analysis 4/3 (September 1, 2021): 274-290. https://doi.org/10.33205/cma.817692.
JAMA
1.Anastassıou G. Sequential Abstract Generalized Right Side Fractional Landau Inequalities. CMA. 2021;4:274–290.
MLA
Anastassıou, George. “Sequential Abstract Generalized Right Side Fractional Landau Inequalities”. Constructive Mathematical Analysis, vol. 4, no. 3, Sept. 2021, pp. 274-90, doi:10.33205/cma.817692.
Vancouver
1.George Anastassıou. Sequential Abstract Generalized Right Side Fractional Landau Inequalities. CMA. 2021 Sep. 1;4(3):274-90. doi:10.33205/cma.817692