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Comparison between power difference means and Heron means
Power difference means and Heron means are well-known numerical means with parameters. Their comparison in the positive definite sense is studied....
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Symmetric operator means
The purpose of this paper is to extend symmetric means of multi-variable positive matrices to those of multi-variable positive operators on an...
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On quadrature means
We observe that every quadrature of numerical integration together with a strictly increasing and continuous function generates a mean and then we...
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Numerical radius and geometric means of real power
Norm inequalities related to geometric means are discussed by many researchers. Though the operator norm is unitarily invariant one, the numerical...
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Vector-valued invariant means
In the paper, we will present some important results from the theory of vector-valued invariant means. Discussing the results contained in the...
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Paths of means for positive operators with strongly unitarily equivalent supports
Based on the Bonnabel–Sepulchre geometric mean for fixed rank matrices, we introduced paths of matrix means corresponding to the Kubo–Ando operator...
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Log-majorizations related to the spectral geometric and Rényi means
In this article we study log-majorizations related to the spectral geometric and Rényi means. Our goal is to establish certain geometric properties...
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Riesz–Zygmund Means and Approximation in Variable Exponent Grand Spaces
In the paper, the estimates of generalized modulus of smoothness and best approximation in variable exponent grand Lebesgue spaces in terms of norms...
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On the Jensen convexity of quasideviation and Bajraktarević means
Motivated by the characterization theorem about the Jensen convexity of quasiarithmetic means obtained by the authors in 2021, our main goal is to...
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Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces
We investigate the convergence of Bochner–Riesz means on Hardy–Sobolev spaces. The relation between the smoothness imposed on functions and the rate...
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Riesz–Zygmund means and trigonometric approximation in Morrey spaces
We estimate best approximations and moduli of smoothness of functions in Morrey spaces variable exponent spaces by norms of derivatives of...
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Approximation of classes of Poisson integrals by incomplete Fejér means
The study is devoted to the approximation of classes of periodic functions of high smoothness by the arithmetic means of the partial sums of the...
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Approximation of Holomorphic Functions by Cesàro Means
For the Lipschitz class of functions holomorphic in the disc, we present a constructive characteristic of this class in terms of the Cesàro means of...
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On approximation by Abel–Poisson and conjugate Abel–Poisson means in Hölder metric
The degree of approximation (in Hölder metric) of a periodic function belonging to a specific Hölder class by its Abel–Poisson means of Fourier...
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Approximation of classes of Poisson integrals by incomplete Fejér means
The work is devoted to the investigation of problem of approximation of continuous periodic functions by trigonometric polynomials, which are...
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Comparison of orders generated by Ky Fan type inequalities for bivariate means
In this paper, we deal with seven types of Ky Fan type relations between bivariate, symmetric and homogeneous means. For each relation we determine...
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Properties of complex-valued power means of random variables and their applications
We consider power means of independent and identically distributed (i.i.d.) non-integrable random variables. The power mean is an example of a...
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k-Means Clustering in EEG (Brain Waves) Timeseries
Clustering is a process of assigning data points into groups (clusters). The goal is to assign “similar” points to the same cluster, while...