Results 21 to 30 of about 2,139,146 (371)
Some new inequalities for (α,m1,m2 )-GA convex functions
In this manuscript, firstly we introduce and study the concept of (α,m_1,m_2 )-Geometric-Arithmetically (GA) convex functions and some algebraic properties of such type functions.
Mahir Kadakal
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Integral inequalities via fractional quantum calculus
In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad+2 more
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This paper investigates the stability problem of neural networks (NNs) with time-varying delay. Firstly, a new augmented vector and suitable Lyapunov–Krasovskii Functional (LKF) considering activation function are constructed by using more information of
Zhizheng Zhao, W. Qian, Xiaozhuo Xu
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We furnish conditions on the functions p ( t ) , f ( t ) p(t),f(t) , and g ( t ) g(t) that are sufficient for the validity of the inequality, α 2 δ ≥
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Integral inequalities for closed linear Weingarten submanifolds in the product spaces [PDF]
An integral inequality for closed linear Weingarten -submanifolds with parallel normalized mean curvature vector field (pnmc lw-submanifolds) in the product spaces ( ) × ℝ, > ≥ 4, where ( ) is a space form of constant sectional ...
FÁBIO R. DOS SANTOS+2 more
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On Slater's Integral Inequality [PDF]
In this paper we give a generalization of results given by Pecari´ ˇ c and Adil (2010). We use a log -convexity criterion and establish improvements and reverses of Slater’s and related inequalities.
M. Adil Khan, Josip Pečarić
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On a new Hilbert-type integral inequality involving the upper limit functions
By applying the weight functions and the idea of introduced parameters we give a new Hilbert-type integral inequality involving the upper limit functions and the beta and gamma functions.
Hongming Mo, Bicheng Yang
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An integral inequality with applications [PDF]
Using a technical integral inequality, J. Moser proved a sharp result on exponential integrability of a certain space of Sobolev functions. In this paper, we show that the integral inequality holds in a general setting using nonincreasing functions and a certain class of convex functions. We then apply the integral inequality to extend the above result
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On a system of integral inequalities [PDF]
The present note obtains a vector extension and a further generalization of Bihari’s Lemma on an integral inequality. The inequality proved can be used in the study of the componentwise behaviour of solutions of differential systems.
S. G. Deo, M. G. Murdeshwar
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Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
László Horváth
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