Results 11 to 20 of about 145,243 (265)

Local convergence of the FEM for the integral fractional Laplacian

open access: yesSIAM Journal on Numerical Analysis, 2020
We provide for first order discretizations of the integral fractional Laplacian sharp local error estimates on proper subdomains in both the local $H^1$-norm and the localized energy norm.
Faustmann, Markus   +2 more
core   +4 more sources

Generalized Steffensen Inequalities for Local Fractional Integrals

open access: yesInternational Journal of Analysis and Applications, 2017
Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these
Mehmet Zeki Sarikaya   +2 more
doaj   +4 more sources

Some Integral Inequalities for Local Fractional Integrals

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
M. Zeki Sarikaya   +2 more
doaj   +5 more sources

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces [PDF]

open access: yesJournal of Function Spaces, 2015
We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} and generalized Morrey spaces Mp,φ. We find conditions on the triple (φ1,φ2,ρ) which ensure the Spanne-type boundedness
V. S. Guliyev   +3 more
doaj   +6 more sources

A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality [PDF]

open access: yesAbstract and Applied Analysis, 2014
Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities.
Wei Wei   +5 more
doaj   +4 more sources

Exact local Whittle estimation of fractional integration [PDF]

open access: yesThe Annals of Statistics, 2005
An exact form of the local Whittle likelihood is studied with the intent of developing a general-purpose estimation procedure for the memory parameter (d) that does not rely on tapering or differencing prefilters. The resulting exact local Whittle estimator is shown to be consistent and to have the same N(0,{1/4}) limit distribution for all values of d
Shimotsu, Katsumi, Phillips, Peter C B
openaire   +4 more sources

On Feng Qi-type integral inequalities for local fractional integrals

open access: yesNew Trends in Mathematical Science, 2022
In this paper, we establish the generalized Qi-type inequality involving local fractional integrals on fractal sets R α (0 < α < 1) of real line numbers. Some applications for special means of fractal sets R α are also given. The results presented here would provide extensions of those given in earlier works.
SARIKAYA, MEHMET ZEKİ   +3 more
openaire   +2 more sources

New Inequalities for Local Fractional Integrals

open access: yesIranian Journal of Science and Technology, Transactions A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Budak, Hüseyin   +2 more
openaire   +2 more sources

Corrected Dual-Simpson-Type Inequalities for Differentiable Generalized Convex Functions on Fractal Set

open access: yesFractal and Fractional, 2022
The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result.
Abdelghani Lakhdari   +3 more
doaj   +1 more source

Numerical solution of Atangana–Baleanu–Caputo time-space fractional diffusion equation

open access: yesArab Journal of Basic and Applied Sciences, 2022
In this article, the time-space fractional diffusion equation is solved by using the fractional operator in Atangana–Baleanu–Caputo (ABC) sense based on the Mittag-Leffler function involving non-singular and non-local kernels.
Saira Siddiqui   +2 more
doaj   +1 more source

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