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Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities [PDF]
Mathematics, 2019 The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
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Weighted arithmetic–geometric operator mean inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
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Median as a weighted arithmetic mean of all sample observations [PDF]
SSRN Electronic Journal, 2004 This paper shows how median may be computed as a weighted arithmetic mean of all sample observations, unlike the conventional method that obtains median as the middle value (odd observations) or a simple mean of the two middlemost values (even ...
SK Mishra
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Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density [PDF]
Applied Sciences, 2021 Many computer vision algorithms which are not robust to noise incorporate a noise removal stage in their workflow to avoid distortions in the final result. In the last decade, many filters for salt-and-pepper noise removal have been proposed.
Manuel González-Hidalgo +3 more
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On Kedlaya-type inequalities for weighted means [PDF]
Journal of Inequalities and Applications, 2018 In 2016 we proved that for every symmetric, repetition invariant and Jensen concave mean M $\mathscr{M}$ the Kedlaya-type inequality A(x1,M(x1,x2),…,M(x1,…,xn))≤M(x1,A(x1,x2),…,A(x1,…,xn)) $$ \mathscr{A} \bigl(x_{1},\mathscr{M}(x_{1},x_{2}), \ldots ...
Zsolt Páles, Paweł Pasteczka
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Some picture fuzzy mean operators and their applications in decision-making [PDF]
Journal of Fuzzy Extension and Applications, 2022 Picture fuzzy set is the generalization of fuzzy set and intuitionistic fuzzy set. It is useful for handling uncertainty by considering the positive membership, neutral membership and negative membership degrees independently for each element of a ...
Hasan Mohammad Kamrul +3 more
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Stochastic Order and Generalized Weighted Mean Invariance
Entropy, 2021 In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series of numbers. The quasi-arithmetic mean, or Kolmogorov–Nagumo mean, generalizes the classical mean and appears in many disciplines ...
Mateu Sbert +3 more
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Refined Young Inequality and Its Application to Divergences
Entropy, 2021 We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the difference between the weighted
Shigeru Furuichi, Nicuşor Minculete
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Applications of differential subordination for certain subclasses of meromorphically univalent functions defined by rapid operator [PDF]
E-Journal of Analysis and Applied Mathematics, 2021 In this work, we investigate some applications of differential subordination for the class of meromorphic univalent functions defined by rapid operator and obtained coefficient bounds, integral representations, weighted and arithmetic mean for the class ...
Bolineni Venkateswarlu +3 more
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Fractional Integral Inequalities for Some Convex Functions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions.
B.R. Bayraktar, A.Kh. Attaev
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