Power mean based image segmentation in the presence of noise [PDF]
Scientific Reports, 2022 In image segmentation and in general in image processing, noise and outliers distort contained information posing in this way a great challenge for accurate image segmentation results.
Afzal Rahman +7 more
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An EigenFactor-weighted power mean generalization of the Euclidean Index. [PDF]
PLoS ONE, 2019 This paper proposes a weighted generalization of the recently developed Euclidean Index. The weighting mechanism is designed to reflect the reputation of the journal within which an article appears.
M Ryan Haley
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On the Fourth Power Mean of the Two-Term Exponential Sums [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
Han Zhang, Wenpeng Zhang
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Orderings over Intuitionistic Fuzzy Pairs Generated by the Power Mean and the Weighted Power Mean
Mathematics, 2023 In the present work, we prove a result concerning an ordering over intuitionistic fuzzy pairs generated by the power mean (Mp) for p>0. We also introduce a family of orderings over intuitionistic fuzzy pairs generated by the weighted power mean (Mpα) and
Peter Vassilev +5 more
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Improvements of Slater’s Inequality by Means of 4-Convexity and Its Applications
Mathematics, 2022 In 2021, Ullah et al., introduced a new approach for the derivation of results for Jensen’s inequality. The purpose of this article, is to use the same technique and to derive improvements of Slater’s inequality. The planned improvements are demonstrated
Xuexiao You +3 more
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Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence
Mathematics, 2022 In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities ...
Đilda Pečarić +2 more
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Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators
Axioms, 2023 In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators.
Asfand Fahad +4 more
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On positive sequences of reals whose block sequence has an asymptotic distribution function [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper we study the properties of the unbounded sequence 0≤y₁≤y₂≤y₃≤... of positive reals having asymptotic distribution function of the form x^λ.
József Bukor +2 more
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Properties of distance spaces with power triangle inequalities
Karpatsʹkì Matematičnì Publìkacìï, 2016 Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the triangle inequality.
D. Greenhoe
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Optimal power mean bounds for the second Yang mean
Journal of Inequalities and Applications, 2016 In this paper, we present the best possible parameters p and q such that the double inequality M p ( a , b ) < V ( a , b ) < M q ( a , b ) $$ M_{p}(a,b)< V(a,b)< M_{q}(a,b) $$ holds for all a , b > 0 $a, b>0$ with a ≠ b $a\neq b$ , where M r ( a , b ) = [
Jun-Feng Li, Zhen-Hang Yang, Yu-Ming Chu
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