Results 1 to 10 of about 1,581 (158)
Some Integral Inequalities for Local Fractional Integrals
International 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
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Generalized Steffensen Inequalities for Local Fractional Integrals
International 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
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A novel method for approximate solution of two point non local fractional order coupled boundary value problems. [PDF]
PLoS ONEThe aim of this paper is to investigate the solution of fractional-order partial differential equations and their coupled systems. A novel method is proposed, which effectively handles these problems under two-point non-local boundary conditions.
Lahoucine Tadoummant +4 more
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Exact local Whittle estimation of fractional integration [PDF]
The 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
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NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS
Fractals, 2020 We firstly establish an identity involving local fractional integrals. Then, with the help of this equality, some new Newton-type inequalities for functions whose the local fractional derivatives in modulus and their some powers are generalized convex are obtained.
Sabah Iftikhar, Poom Kumam, Samet Erden
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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Журнал Белорусского государственного университета: Математика, информатика, 2022 In this paper, we investigate the features of higher order Gubinelli derivatives of controlled rough paths having an arbitrary positive Holder index. There is used a notion of the (α, β)-rough map on the basis of which the sufficient conditions are given
Maksim M. Vaskovskii
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Generalized Fractional Integral Operators on Generalized Local Morrey Spaces [PDF]
Journal of Function Spaces, 2015 We study the continuity properties of the generalized fractional integral operatorIρon the generalized local Morrey spacesLMp,φ{x0}and generalized Morrey spacesMp,φ. We find conditions on the triple(φ1,φ2,ρ)which ensure the Spanne-type boundedness ofIρfrom one generalized local Morrey spaceLMp,φ1{x0}to anotherLMq,φ2{x0},1<p<q<∞, and fromLM1,φ1{
ŞERBETÇİ, AYHAN +3 more
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Local Whittle Estimation of Multivariate Fractionally Integrated Processes [PDF]
SSRN Electronic Journal, 2009 Summary: This article derives a semi-parametric estimator of multi-variate fractionally integrated processes covering both stationary and non-stationary values of \(d\). We utilize the notion of the extended discrete Fourier transform and periodogram to extend the multi-variate local Whittle estimator of \textit{K.
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On Feng Qi-type integral inequalities for local fractional integrals
New 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
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