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Generalized integral Jensen inequality
In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and...
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Refining the integral Jensen inequality for finite signed measures using majorization
Among inequalities that use the concept of convexity, Jensen-type inequalities and majorization-type inequalities are significant and fundamental. An...
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A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces
In this paper, we establish a Simons-type integral inequality for minimal surfaces with constant Kähler angle in complex projective spaces, and we...
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Bohr type inequality for Cesáro and Bernardi integral operator on simply connected domain
In this article, we study the Bohr type inequality for Cesáro operator and Bernardi integral operator acting on the space of analytic functions...
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On a Hilbert-type integral inequality in the whole plane with the equivalent forms
In the present paper we establish a few equivalent conditions of a Hilbert-type integral inequality with a non-homogeneous kernel in the whole plane....
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A Reilly type integral inequality for the p-Laplacian and applications to submanifolds of the unit sphere
An integral inequality for the compact (with or without boundary) submanifolds in the unit sphere with constant scalar curvature is established....
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A Hardy–Hilbert-type integral inequality involving two multiple upper-limit functions
By means of the weight functions, the idea of introducing parameters and the technique of real analysis, a new Hardy–Hilbert-type integral inequality...
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On a reverse Hardy–Hilbert-type integral inequality involving derivative functions of higher order
By means of the weight functions, the idea of introducing parameters and the technique of real analysis related to the beta and gamma functions, a...
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Further improvement of finite-time boundedness based nonfragile state feedback control for generalized neural networks with mixed interval time-varying delays via a new integral inequality
This article investigates new delay-dependent finite-time boundedness for generalized neural networks (GNNs) with mixed-interval time-varying delays...
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An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions
In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities ( LTIs ) for two classes of boundary value problems ( BVPs )...
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Equivalent conditions of a multiple Hilbert-Type integral inequality with the nonhomogeneous kernel
In this paper we prove equivalent conditions of a multiple Hilbert-type integral inequality with the general nonhomogeneous kernel and...
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On a Reverse Integral Hardy Inequality on Polarisable Metric Measure Space
In this short note, we give reverse integral Hardy inequalities on polarisable metric measure space in the case...
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Maximal Operator, Cotlar’s Inequality and Pointwise Convergence for Singular Integral Operators in Dunkl Setting
We establish the maximal operator, Cotlar’s inequality and pointwise convergence in the Dunkl setting for the (nonconvolution type)...
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New refinements of the Cauchy–Bunyakovsky inequality
This paper presents new refinements on the integral form of Cauchy–Schwartz inequality known as Cauchy–Bunyakovsky inequality. It is proved that when...
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The Poincaré Inequality for 3D-Vector Fields and the Neumann Problem
For 3D-vector fields we obtain a family of integral inequalities that can be regarded as the Poincaré inequality within the framework of field...
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Some generalizations of integral inequalities similar to Hardy’s inequality
In Wu et al. (J Nonlinear Sci Appl 9:1093–1102, 2016) were established certain Hardy-type inequalities. In this paper we consider integral...
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Some generalizations of the Hermite–Hadamard integral inequality
In this article we give two possible generalizations of the Hermite–Hadamard integral inequality for the class of twice differentiable functions,...
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Refinements of discrete and integral Jensen inequalities with Jensen’s gap
Motivated by a paper of Dragomir, we give new refinements for both discrete and integral Jensen inequalities using the Jensen’s gap. As applications,...