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Mathematical and Computer Modelling of Dynamical SystemsFractional calculus is extremely important and should not be undervalued due to its critical role in the theory of inequalities. In this article, different generalized Hermite-Hadamard type inequalities for functions whose modulus of first derivatives ...
Asfand Fahad +5 more
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New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals
Boundary Value ProblemsThe Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq +3 more
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HeliyonThe main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha +5 more
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A new sharp double inequality for generalized Heronian, harmonic and power means
Computers & Mathematics with Applications, 2012 For a real number $p$, let $M_p(a, b)$ denote the usual power mean of order $p$ of positive real numbers $a$ and $b$. Further, let $H=M_{; ; ; -1}; ; ; $ and $He_{; ; ; \alpha}; ; ; = \alpha M_0 + (1 - \alpha) M_1$ for $\alpha \in [0, 1]$. We prove that the double mixed-means inequality \[ M_{; ; ; -\frac{; ; ; \alpha}; ; ; {; ; ; 2}; ; ; }; ; ; (a, b)
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Generalization and sharpness of the power means inequality and their applications
Journal of Mathematical Analysis and Applications, 2005 The main results of the paper sharpen the classical well-known inequalities between power means. As a consequence, the inequality \[ \left(\sum_{i=1}^n x_i\right)^n \leq (n-1)^{n-1} \sum_{i=1}^n x_i^n + n\big(n^{n-1}-(n-1)^{n-1}\big)\prod_{i=1}^n x_i \] is proved for all \(x_1,\dots,x_n>0\), \(n\geq2\), which was conjectured by \textit{W. Janous, M. K.
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Hermite-Hadamard type inequalities for quasi-convex functions via improved power-mean inequality
, 2021 In this paper, by using power-mean and improved power-mean integral inequality and an general identity for differentiable functions we can get new estimates on integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained improved power-mean integral inequality
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On some type of Hardy's inequality involving generalized power means
, 2013 We discuss properties of certain generalization of Power Means proposed in 1971 by Carlson, Meany and Nelson. For any fixed parameter (k,s,q) and vector (v_1,...,v_n) they take the q-th power means of all possible k-tuples (v_{i_1},...,v_{i_k}), and then calculate the s-th power mean of the resulting vector of length C_n^k.
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 In this paper we establish a new fractional identity involving a function oftwo independent variables, and then we derive some fractionalHermite-Hadamard type integral inequalities for functions whose modulus ofthe mixed derivatives are co-ordinated s ...
Badreddine Meftah, Abdourazek Souahi
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Inequalities for \(J\)-contractions involving the \(\alpha\)-power mean
, 2009 For a selfadjoint involution matrix \(J\) on \(\mathbb{C}^{n}\), i.e., \(J=J^{*}\) and \(J^{2}=J\), one can consider \(\mathbb{C}^{n}\) with the indefinite Krein space structure endowed by the indefinite inner product \([x,y]:=y^{*}Jx\). Several authors have studied properties of the Krein space, especially, matrix inequalities based on the indefinite ...
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How White people manage the weight of the past: The role of advantaged identity strategies in linking colonialism to current racial inequality. [PDF]
Br J Soc PsycholCáceres Quezada E +5 more
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