نتایج جستجو برای: Hölder and Hölder-İşcan integral inequalities

تعداد نتایج: 16862006  

In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than...

Journal: :Mathematical and Computer Modelling 2011
Guangsheng Chen Zhan Chen

Keywords: Diamond-α integral Time scale Hölder inequality Minkowski's inequality a b s t r a c t In this paper, we establish a functional generalization of the diamond-α integral reverse Hölder inequality on time scales. Some related inequalities are also considered.

Journal: :Journal of Inequalities and Applications 2018

Journal: :Kybernetika 2010
Radko Mesiar Jun Li Endre Pap

The integral inequalities known for the Lebesgue integral are discussed in the framework of the Choquet integral. While the Jensen inequality was known to be valid for the Choquet integral without any additional constraints, this is not more true for the Cauchy, Minkowski, Hölder and other inequalities. For a fixed monotone measure, constraints on the involved functions sufficient to guarantee ...

Journal: :Applied Mathematics and Computation 2011
Hamzeh Agahi Yao Ouyang Radko Mesiar Endre Pap Mirjana Strboja

There are proven generalizations of the Hölder's and Minkowski's inequalities for the pseudo-integral. There are considered two cases of the real semiring with pseudo-operations: one, when pseudo-operations are defined by monotone and continuous function g, the second semiring ([a, b], sup,), where is generated and the third semiring where both pseudo-operations are idempotent, i.e., È = sup an...

2000
T. G. Steele

QCD Laplace Sum-Rules must satisfy a fundamental Hölder inequality if they are to consistently represent an integrated hadronic spectral function. The Laplace sum-rules of pion currents is shown to violate this inequality unless the u and d quark masses are sufficiently large, placing a lower bound on mu + m d , the SU (2)-invariant combination of the light-quark masses. In this paper we briefl...

Journal: :Entropy 2017
Frank Nielsen Ke Sun Stéphane Marchand-Maillet

We describe a framework to build distances by measuring the tightness of inequalities, and introduce the notion of proper statistical divergences and improper pseudo-divergences. We then consider the Hölder ordinary and reverse inequalities, and present two novel classes of Hölder divergences and pseudo-divergences that both encapsulate the special case of the Cauchy-Schwarz divergence. We repo...

2008
T. G. Steele

QCD sum-rules are related to an integral of a hadronic spectral function, and hence must satisfy integral inequalities which follow from positivity of the spectral function. Development of these Hölder inequalities and their application to the Laplace sum-rule for pions lead to a lower bound on the average of the non-strange 2GeV light-quark masses in the MS scheme. The light quark masses are f...

2014
ÁRPÁD BARICZ TIBOR K. POGÁNY

In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, Hölder-Rogers, Cauchy-Schwarz, Carlson and Grüss inequalities, as well as the monotone form of l’Hospital’s rule. Moreover, we prove the complete monotonicity of a determinant function ...

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