New information inequalities on new generalized f-divergence and applications [PDF]
Le Matematiche, 2015 In this work, we introduce new information inequalities on new generalized f-divergence in terms of well known Chi-square divergence. Further we obtain relations of other standard divergence as an application of new inequalities by using Logarithmic ...
K. C. Jain, Praphull Chhabra
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Generalizations on some Hermite-Hadamard type inequalities for differentiable convex functions with applications to weighted means. [PDF]
ScientificWorldJournal, 2014 Some new Hermite‐Hadamard type inequalities for differentiable convex functions were presented by Xi and Qi. In this paper, we present new generalizations on the Xi‐Qi inequalities.
Sroysang B.
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A separation of some Seiffert-type means by power means [PDF]
Journal of Numerical Analysis and Approximation Theory, 2012 Consider the identric mean \(\mathcal{I}\), the logarithmic mean \(\mathcal{L,}\) two trigonometric means defined by H. J. Seiffert and denoted by \(\mathcal{P}\) and \(\mathcal{T,}\) and the hyperbolic mean \(\mathcal{M}\) defined by E.
Iulia Costin, Gheorghe Toader
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ON THE GENERALIZED CONVEXITY AND CONCAVITY
Проблемы анализа, 2015 A function ƒ : R+ → R+ is (m1, m2)-convex (concave) if ƒ(m1(x,y)) ≤ (≥) m2(ƒ(x), ƒ(y)) for all x,y Є R+ = (0,∞) and m1 and m2 are two mean functions. Anderson et al.
Bhayo B., Yin L.
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this work, we introduce the idea of n–polynomial harmonically s–type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties. As a result, new Hermite–Hadamard, some refinements of Hermite–Hadamard and Ostrowski type integral inequalities are established, which are the generalized variants of the ...
Saad Ihsan Butt +4 more
wiley +1 more source
On Strongly Convex Functions via Caputo–Fabrizio‐Type Fractional Integral and Some Applications
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes. The aim of this paper is to study some properties of strongly convex functions via the Caputo–Fabrizio fractional integral operator.
Qi Li +5 more
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An Inequality of Ostrowski Type for Mappings Whose Second Derivatives Belong to L₁ (A,B) and Applications [PDF]
, 1998 An inequaltiy of Ostrowski type for twice differentiable mappings whose derivatives belong to L₁ [a,b] and applications in Numerical Integration and for special means (logarithmic mean, identric mean, p-logarithmic mean etc...) are ...
Roumeliotis, John +2 more
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An Inequality of Ostrowski Type For Mappings Whose Second Derivatives are Bounded and Applications [PDF]
, 1998 An inequality of Ostrowski type for twice differentiable mappings whose derivatives are bounded and applications in Numerical Integration and for special means (logarithmic mean, identric mean, p-logarithmic mean etc...) are ...
Roumeliotis, John +2 more
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Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 In this paper, we establish some functional inequalities for generalized complete elliptic integrals with two parameters, such as estimation of bounds and mean inequalities. Our main results give (p, q)‐analogues to the early results for classical complete elliptic integrals.
Xiangkai Dou +3 more
wiley +1 more source
On Trapezoid Inequality Via a Grüss Type Result and Applications [PDF]
, 1999 In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean, identric mean, etc...
McAndrew, Alasdair, Dragomir, Sever S
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