Results 21 to 30 of about 247,781 (292)
Mathematics, 2023 In the present work, we introduce two new local fractional integral operators involving Mittag–Leffler kernel on Yang’s fractal sets. Then, we study the related generalized Hermite–Hadamard-type inequality using generalized (E,h)-convexity and obtain two
W. Saleh +3 more
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Alexandria Engineering Journal, 2022 In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Peng Xu +4 more
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Some Local Fractional Hilbert-Type Inequalities
Fractal and Fractional, 2023 The main purpose of this paper is to prove some new local fractional Hilbert-type inequalities. Our general results are applicable to homogeneous kernels.
Predrag Vuković
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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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, 2021 The understanding of inequalities in convexity is crucial for studying local fractional calculus efficiency in many applied sciences. In the present work, we propose a new class of harmonically convex functions, namely, generalized harmonically - -convex
Hu Ge-jile +3 more
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The boundedness of fractional integral operators in local and global mixed Morrey-type spaces [PDF]
Positivity (Dordrecht), 2021 In this paper, we introduce the local and global mixed Morrey-type spaces and show some properties. Besides, we investigate the boundedness of the fractional integral operators $$I_\alpha $$ I α in these spaces.
Houkun Zhang, Jiang Zhou
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Local fractional Elzaki transform and its application to local fractional differential equations
Journal of New Results in Science, 2021 The objective of our work is to couple the Elzaki transform method and the local fractional derivative which is called local fractional Elzaki transform, where we have provided important results of this transformation as local fractional Laplace-Elzaki ...
Mountassir Hamdi Cherif, Djelloul Ziane
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, 2021 This paper aims to investigate the notion of [Formula: see text]-convex functions on fractal sets [Formula: see text] Based on these novel ideas, we derived an auxiliary result depend on a three-step quadratic kernel by employing generalized [Formula ...
Yong-Min Li +4 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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