Local Fractional Inequalities
This research is about inequalities in a local fractional setting. The author presents the following types of analytic local fractional inequalities: Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, and Polya–Ostrowski. The results are with respect to uniform and Lp norms, involving left and right Riemann–Liouville fractional derivatives. We derive also several interesting special cases.
- 9.G.A. Anastassiou, Local fractional Taylor formula. J. Comput. Anal. Appl. 28, 709–713 (2020)Google Scholar
- 11.K.M. Kolwankar, Local fractional calculus: a review. arXiv: 1307:0739v1 [nlin.CD] (2013)Google Scholar
- 12.K.M. Kolwankar, A.D. Gangal, Local Fractional Calculus: A Calculus for Fractal Space-Time. Fractals: Theory and Applications in Engineering (Springer, New York, 1999), pp. 171–181Google Scholar