Results 51 to 60 of about 1,680 (149)
A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]
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
Properties of generalized sharp Hölder's inequalities
Hölder’s inequality and its various refinements are playing very important in mathematical analysis. In this paper, we give some new properties of generalized sharp Hölder’s inequalities. Mathematics subject classification (2010): 26D15, 26D10.
Jing-feng Tian, M. Ha
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Improved Hardy inequalities with exact remainder terms
We set up several identities that imply some versions of the Hardy type inequalities. These equalities give a straightforward understanding of several Hardy type inequalities as well as the nonexistence of nontrivial optimizers.
Tuan Duy Nguyen+3 more
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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
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Lyapunov inequality for fractional differential equations with Prabhakar derivative
In this paper, we consider a fractional boundary value problem including the Prabhakar fractional derivative. We obtain associated Green function for this fractional boundary value problem and get a Lyapunov-type inequality for it.
S. Eshaghi, A. Ansari
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Extension of Hu Ke's inequality and its applications
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
An equivalent form of Young's inequality with upper bound
Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new formulation ...
E. Minguzzi, E. Minguzzi
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SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS
Some new results related of the left-hand side of the Hermite-Hadamard type inequal- ities for the class of mappings whose second derivatives at certain powers are s convex in the second sense are established.
M. Sarıkaya, Mehmet Ey, Up Kiris
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An improved Hardy type inequality on Heisenberg group
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
Sharp affine weighted L 2 Sobolev inequalities on the upper half space
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
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