On an Open Problem by Feng Qi Regarding an Integral Inequality [PDF]
, 2002 In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in Several integral inequalities which appeared in J. Inequal. Pure Appl. Math. 1 (2000), no. 2, Art. 19.
Mazouzi, S, Qi, Feng
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Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications
Mathematics, 2021 In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha.
Zhong-Xuan Mao +4 more
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Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales [PDF]
, 2009 We prove a two dimensional Holder and reverse-Holder inequality on time scales via the diamond-alpha integral. Other integral inequalities are established as well, which have as corollaries some recent proved Hardy-type inequalities on time scales ...
Delfim F. M. Torres +2 more
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
International Journal of Analysis and Applications, 2019 We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨uss type. A cluster of fractional integral inequalities have been identified by setting particular values
G. Farid +3 more
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Fractional integral inequalities and global solutions of fractional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 New fractional integral inequalities are established, which generalize some famous inequalities. Then we apply these new fractional integral inequalities to study global existence results for fractional differential equations.
Tao Zhu
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Some Fractional Integral Inequalities Involving Mittag-Kernels
Journal of Mathematics, 2022 This paper aims to present fractional versions of Minkowski-type integral inequalities via integral operators involving Mittag-Leffler functions in their kernels. Inequalities for various kinds of well-known integral operators can be deduced by selecting
Xiujun Zhang +4 more
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Some Grüss' Type Inequalities in 2-Inner Product Spaces and Applications for Determinantal Integral Inequalities [PDF]
, 2003 Some new Grüss type inequalities in 2-inner product spaces are given.
Cho, Yeol Je +4 more
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Some Integral Inequalities of Grüss Type [PDF]
, 1998 Some classical and new integral inequalities of Grüss type are ...
Dragomir, Sever S
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New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces [PDF]
, 2003 New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in an earlier paper.
Dragomir, Sever Silvestru
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New generalization fractional inequalities of Ostrowski-Gr\"uss type
, 2012 In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
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