Integral Inequality
A multidimensional Hilbert type integral inequality
... By applying the method of weight functions and the technique of real analysis, a multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the ...
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Refined Wirtinger type integral inequality
... Wirtinger-based integral inequality [1] cannot be applied in finding the lower bounds of such double integral terms since it merely evaluates the quadratic terms in the form of a single ...double ...
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On New Extensions of Hilbert's Integral Inequality
... Hilbert’s integral inequality with parameter λλ > 1/2 can be established by introducing a proper weight ...Hilbert’s integral inequality is ...Hardy-Littlewood’s inequality are ...
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Interpolations of Jensen's Integral Inequality
... Abstract. Weighted and unweighted interpolations of general order are given for Jensen’s integral inequality. Various upper–bound estimates are made for the differences between the interpolates and some ...
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A Weighted Interpolation for Jensen’s Integral Inequality and Some Converse Results
... A weighted interpolation of Jensen’s integral inequality and some applications for Hadamard’s inequality are given1. Some particular examples are also examined.[r] ...
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An Extension of the Hilbert's Integral Inequality
... It is shown that an extension of the Hilbert’s integral inequality can be established by introducing two parameters m m ∈ N and λ λ > 0 . The constant factors expressed by the Euler number and π as well ...
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Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality
... Hadamard’s inequality [1], Hermite-Hadamard’s inequality [10], or Jensen-Hadamard’s inequality [11], since ones are not aware that this inequality appeared first in a letter by Hermite on ...
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Integral Inequality of Hardy Type on Time Scales
... an integral inequality by using Hölder’s inequality to obtain an integral inequality that has Opial’s and Hardy’s inequalities as special ...
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Steffensen's Integral Inequality on Time Scales
... Steffensen’s integral in- equality to an arbitrary time ...Steffensen’s integral inequality using the diamond-α derivative on time ...ensen’s integral inequality on time ...
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Refinement of the Jensen integral inequality
... Jensen inequality for convex functions plays a crucial role in the Theory of Inequalities due to the fact that other inequalities such as the arithmetic mean-geometric mean inequality, the Hölder and ...
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On a Generalization of Hilbert Type Integral Inequality
... Considerable attention has been given to Hilbert inequalities and Hilbert-type inequalities by several authors including Gao and Yang 1, Yang 2–4, Jichang and Debnath 5, Pachpatte 6, Zhao 7, Brneti´c and Peˇcari´c 8. In ...
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Inequalities for Generalized Weighted Mean Values of Convex Function
... Tchebycheff’s integral inequality, the suit- able properties of double integral and the Cauchy’s mean value theorem in integral form, the following result is proved: Suppose f (x) is a ...
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Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type
... In the past few years, many scholars have extended the Gronwall–Bellman inequality and applied it to many aspects. There can be found many generalizations and analogs of it in various cases from literature (see ...
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A Hilbert Integral Type Inequality with Parameters
... A Hilbert-type integral inequality with parameters α and α, λ > 0 can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then ...
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Some Landau Type Inequalities for Functions Whose Derivatives are of Locally Bounded Variation
... Math. DRAGOMIR, The Ostrowski integral inequality for mappings of bounded variation, Bull. DRAGOMIR, On the Ostrowski’s integral inequality for mappings with bounded varia- tion and appl[r] ...
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Some New Inequalities of Qi Type for Definite Integrals
... the integral inequality ...Jensen’s inequality [6], convexity method [4], functional inequalities in abstract spaces [1, 4, 6], probability measures viewpoint [1, 7, 8], H¨ older inequality ...
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Some generalized Gronwall Bellman type nonlinear delay integral inequalities for discontinuous functions
... type integral inequal- ity, named Mate-Nevai type nonlinear integral inequality for continuous functions, which is one case of inequalities containing integration on infinite intervals for continuous ...
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Reverse Beckenbach Dresher’s inequality
... Beckenbach-Dresher’s inequality was studied extensively and numerous variants, gen- eralizations, and extensions appeared in the literature (see [–] and the references cited ...Beckenbach-Dresher’s ...
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Barnes Godunova Levin type inequality of the Sugeno integral for an \((\alpha,m)\) concave function
... In this paper, a Barnes-Godunova-Levin type inequality for the Sugeno integral based on an ( α ,m)-concave function is proved. Some examples are given to illustrate the validity of these inequalities. ...
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An inequality for q integral and its applications
... the inequality obtained in this paper to give a sufficient condition for convergence of a ...an inequality technique to give a sufficient condition for the convergence of a special q-series called the Jackson ...
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