Results 51 to 60 of about 2,050 (154)
Perturbations of an Ostrowski type inequality and applications
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 491-500, 2002., 2002 Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid‐point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
Nenad Ujević
wiley +1 more source
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
doaj
A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]
, 2002 A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
core
Characterization of the monotone polar of subdifferentials
, 2013 We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point.
Lassonde, Marc
core +3 more sources
Integral inequalities involving generalized Erdélyi-Kober fractional integral operators
Open Mathematics, 2016 Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and
Baleanu Dumitru +2 more
doaj +1 more source
An improved Hardy type inequality on Heisenberg group
Journal of Inequalities and Applications, 2011 Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group ℍ n via Bessel function.
Xiao Ying-Xiong
doaj
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
core +1 more source
Nonautonomous Dynamical Systems, 2018 By using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented.
Negi Shekhar Singh +2 more
doaj +1 more source
Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version [PDF]
, 2005 Mathematics Subject Classification: 26D10.The sharp constant is obtained for the Hardy-Stein-Weiss inequality for fractional Riesz potential operator in the space L^p(R^n, ρ) with the power weight ρ = |x|^β.
Samko, Stefan
core
Journal of Inequalities and Applications, 2011 In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming +4 more
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