Results 51 to 60 of about 1,946 (136)
, 2016 In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the ...
S. Ntouyas, P. Agarwal, J. Tariboon
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Ostrowski and generalized trapezoid type inequalities on time scales
Journal of King Saud University: Science, 2020 In this paper, some new Ostrowski and generalized Trapezoid type inequalities on time scales are established. The Ostrowski type inequality is presented via a parameter function g:[0,1]→[0,1].
Adnan Tuna, Eze R. Nwaeze
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Some new ostrowski-type bounds for the čebyšev functional and applications
, 2014 Some new inequalities of Ostowski-type for the Cebysev functional and applications for Taylor’s expansion and generalised trapezoid formula are pointed out. Mathematics subject classification (2010): Primary 26D15; Secondary 41A55.
P. Cerone, S. Dragomir
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On Minkowski's inequality and its application
Journal of Inequalities and Applications, 2011 In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
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New inequalities of hermite-hadamard type for convex functions with applications [PDF]
, 2010 In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given.
Havva Kavurmaci, M. Avci, M. Özdemir
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On some Opial-type inequalities
Journal of Inequalities and Applications, 2011 In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.
Cheung Wing-Sum, Zhao Chang-Jian
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Hilbert-type inequalities involving differential operators, the best constants, and applications
, 2015 Motivated by some recent results, in this article we derive several Hilbert-type inequalities with a differential operator, regarding a general homogeneous kernel.
V. Adiyasuren +2 more
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Extension of Hu Ke's inequality and its applications
Journal of Inequalities and Applications, 2011 In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
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Levinson-type inequalities via new Green functions and Montgomery identity
Open Mathematics, 2020 In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points
Adeel Muhammad +3 more
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Some new inequalities via s-convex functions on time scales
Acta Universitatis Sapientiae: Mathematica, 2021 In this paper, we prove some new integral inequalities for s-convex function on time scale. We give results for the case when time scale is ℝ and when time scale is ℕ.
Mehreen Naila, Anwar Matloob
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