Results 71 to 80 of about 1,680 (149)
Refinements of quantum Hermite-Hadamard-type inequalities
Open Mathematics, 2021 In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin +3 more
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On the Perturbed Trapezoid Formula [PDF]
, 2001 Some inequalities related to the perturbed trapezoid formula are given.
Barnett, Neil S, Dragomir, Sever S
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On iterated and bilinear integral Hardy-type operators
Mathematical Inequalities & Applications, 2019 We characterize the weighted inequalities on Lebesgue cone of all nonnegative functions on the semi-axis for iterated integral operators with Oinarov kernels. Mathematics subject classification (2010): 26D10, 46E20.
V. Stepanov, G. Shambilova
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Open Mathematics, 2021 In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira +3 more
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A completely monotonic function involving the tri- and tetra-gamma functions
, 2010 The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
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Improvements of generalized Hölder's inequalities and their applications
, 2018 In this paper, we present some new improvements of generalized Hölder’s inequalities, and then we obtain a new refinement of Minkowski inequality. Moreover, the obtained results are used to improve Chung’s inequality and Beckenbach-type inequality ...
Jing-feng Tian, M. Ha, C. A. Wang
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The fractional Hardy inequality with a remainder term
, 2009 We calculate the regional fractional Laplacian on some power function on an interval. As an application, we prove Hardy inequality with an extra term for the fractional Laplacian on the interval with the optimal constant.
Dyda, Bartłomiej
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Demonstratio Mathematica, 2022 It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations.
Khan Muhammad Bilal +4 more
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Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand [PDF]
, 2000 Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Guo, Bai-Ni, Qi, Feng
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Miskolc Mathematical Notes, 2019 In this work, firstly, we established Hermite-Hadamard’s inequalities for harmonically convex functions via Katugampola fractional integrals. Then we give some Hermite-Hadamard type inequalities of these classes functions.
İ. Mumcu, E. Set, A. Akdemi̇r
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