Results 1 to 10 of about 6,587,950 (298)
Optimal Inequalities for Power Means [PDF]
Journal of Applied Mathematics, 2012 We present the best possible power mean bounds for the product Mpα(a,b)M-p1-α(a,b) for any p>0, α∈(0,1), and all a,b>0 with a≠b. Here, Mp(a,b) is the pth power mean of two positive numbers a and b.
Yong-Min Li +3 more
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K-Means and Alternative Clustering Methods in Modern Power Systems
IEEE Access, 2023 As power systems evolve by integrating renewable energy sources, distributed generation, and electric vehicles, the complexity of managing these systems increases.
Seyed Mahdi Miraftabzadeh +3 more
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Optimal bounds for two Sándor-type means in terms of power means
Journal of Inequalities and Applications, 2016 In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β ( a , b ) $M_{\alpha }(a,b)< S_{QA}(a,b)< M_{\beta}(a,b)$ and M λ ( a , b ) < S A Q ( a , b ) < M μ ( a , b ) $M_{\lambda }(a,b)< S_{AQ}(a,b)< M_{\mu}(a,b)$ hold ...
Tie-Hong Zhao +2 more
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Jensen Functional, Quasi-Arithmetic Mean and Sharp Converses of Hölder’s Inequalities
Mathematics, 2021 In this article, we give sharp two-sided bounds for the generalized Jensen functional Jn(f,g,h;p,x). Assuming convexity/concavity of the generating function h, we give exact bounds for the generalized quasi-arithmetic mean An(h;p,x). In particular, exact
Slavko Simić, Vesna Todorčević
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Estimations of the Jensen Gap and Their Applications Based on 6-Convexity
Mathematics, 2023 The main purpose of this manuscript is to present some new estimations of the Jensen gap in a discrete sense along with their applications. The proposed estimations for the Jensen gap are provided with the help of the notion of 6-convex functions.
Muhammad Adil Khan +3 more
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A Refined Jensen Inequality Connected to an Arbitrary Positive Finite Sequence
Mathematics, 2022 The prime purpose of this paper is to provide a refinement of Jensen’s inequality in connection with a positive finite sequence. We deal with the refinement for particular cases and point out the relation between the new result with earlier results of ...
Shanhe Wu +3 more
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Sharp Power Mean Bounds for Sándor Mean [PDF]
Abstract and Applied Analysis, 2015 We prove that the double inequalityMp(a,b)<X(a,b)<Mq(a,b)holds for alla,b>0witha≠bif and only ifp≤1/3andq≥log 2/(1+log 2)=0.4093…, whereX(a,b)andMr(a,b)are the Sándor andrth power means ofaandb, respectively.
Yu-Ming Chu, Zhen-Hang Yang, Li-Min Wu
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On New Means with Interesting Practical Applications: Generalized Power Means
Mathematics, 2021 Means of positive numbers appear in many applications and have been a traditional matter of study. In this work, we focus on defining a new mean of two positive values with some properties which are essential in applications, ranging from subdivision and
Sergio Amat +4 more
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To Be Powerful Without the Means of Power
Performance Philosophy, 2022 This article inquires into the tension between power as restriction and power as empowerment, as investigated by means of performance in two works: aCORdo by Alice Ripoll and Azdora by Markus Öhrn.
Silvia Bottiroli, Livia Andrea Piazza
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Sharp Power Mean Bounds for Two Seiffert-like Means
Axioms, 2023 The mean is a subject of extensive study among scholars, and the pursuit of optimal power mean bounds is a highly active field. This article begins with a concise overview of recent advancements in this area, focusing specifically on Seiffert-like means.
Zhenhang Yang, Jing Zhang
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