Results 21 to 30 of about 3,730 (264)
New general Grüss-type inequalities over σ-finite measure space with applications
Advances in Difference Equations, 2020 In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal +5 more
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Katugampola Fractional Calculus With Generalized k−Wright Function
European Journal of Mathematical Analysis, 2021 In this article, we present some properties of the Katugampola fractional integrals and derivatives. Also, we study the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized k−Wright function nΦkm(z).
Ahmad Y. A. Salamooni, D. D. Pawar
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Further Midpoint Inequalities via Generalized Fractional Operators in Riemann–Liouville Sense
Fractal and Fractional, 2022 In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals.
Abd-Allah Hyder +2 more
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Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator [PDF]
Journal of Inequalities and Applications, 2020 AbstractThe aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator. The inequalities presented in this paper are more general than the existing classical inequalities cited.
Asifa Tassaddiq +5 more
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Advances in Difference Equations, 2020 In this research article, we establish some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via Katugampola fractional integrals and ψ-Riemann–Liouville fractional integrals.
Naila Mehreen, Matloob Anwar
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Fractionally Integrated COGARCH Processes* [PDF]
Journal of Financial Econometrics, 2018 We construct fractionally integrated continuous-time GARCH models, which capture the observed long range dependence of squared volatility in high-frequency data. Since the usual Molchan-Golosov and Mandelbrot-van-Ness fractional kernels lead to problems in the definition of the model, we resort to moderately long memory processes by choosing a ...
Haug, Stephan +2 more
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Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications
Mathematics, 2019 In this paper, we are concerned with the ψ-fractional integrals, which is a generalization of the well-known Riemann−Liouville fractional integrals and the Hadamard fractional integrals, and are useful in the study of various fractional ...
Jin Liang, Yunyi Mu
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General Fractional Integrals and Derivatives with the Sonine Kernels
Mathematics, 2021 In this paper, we address the general fractional integrals and derivatives with the Sonine kernels on the spaces of functions with an integrable singularity at the point zero.
Yuri Luchko
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New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure
Advances in Difference Equations, 2020 It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form of integral transforms involving general kernel ...
S. Iqbal +5 more
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Fractional Quantum Integral Inequalities [PDF]
Journal of Inequalities and Applications, 2011 Several authors have studied fractional integral inequalities and applications [\textit{S. L. Kalla} and \textit{A. Rao}, Matematiche 66, 59--66 (2011; Zbl 1222.26023); \textit{Z. Denton} and \textit{A. S. Vatsala}, Comput. Math. Appl. 59, No. 3, 1087--1094 (2010; Zbl 1189.26044); \textit{G. A. Anastassiou}, Comput. Math. Appl. 54, No.
Umut Mutlu Özkan +1 more
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