Invariance of means
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Publication:1784262
DOI10.1007/s00010-018-0564-5zbMath1435.26037OpenAlexW2861697297MaRDI QIDQ1784262
Witold Jarczyk, Justyna Jarczyk
Publication date: 26 September 2018
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-018-0564-5
Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Means (26E60)
Related Items (14)
Regular solutions of a functional equation derived from the invariance problem of Matkowski means ⋮ A dichotomy result for strictly increasing bisymmetric maps ⋮ Set-valued means ⋮ Invariance property for extended means ⋮ Gaussian iterative algorithm and integrated automorphism equation for random means ⋮ Some Cauchy mean-type mappings for which the arithmetic mean is invariant ⋮ On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means ⋮ Random means generated by random variables: expectation and limit theorems ⋮ On a functional equation appearing on the margins of a mean invariance problem ⋮ Quasi-arithmetic-type invariant means on probability space ⋮ Note on generalized Archimedes-Borchardt algorithm ⋮ \(M\)-affine functions of means with a simple functional weight ⋮ Generalized classical weighted means, the invariance, complementarity and convergence of iterates of the mean-type mappings ⋮ Fuzzy means and HGA-type inequalities
Cites Work
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- On a problem of Matkowski
- On invariance equation for means of power growth
- Invariance in the Family of Weighted Gini Means
- A square iterative roots of some mean-type mappings
- Invariance in the class of weighted quasi-arithmetic means
- Algorithms Involving Arithmetic and Geometric Means
- A Class of Mean Value Functions
- Sur une équivalence pour les fonctions
- Sur les moyennes
- On means that are both quasi-arithmetic and conjugate arithmetic
- Limit properties in a family of quasi-arithmetic means
- Solving invariance equations involving homogeneous means with the help of computer
- Halfconvex functions and equality of Daróczy-Páles conjugate means
- Explicit solutions of the invariance equation for means
- Means in mathematical analysis. Bivariate means
- On the equality and comparison problem of a class of mean values
- Mean values and functional equations
- Some Cauchy mean-type mappings for which the geometric mean is invariant
- Invariance equation for generalized quasi-arithmetic means
- Generalized weighted quasi-arithmetic means
- On an equation involving weighted quasi-arithmetic means
- A solution of an open problem concerning Lagrangian mean-type mappings
- Quotient mean, its invariance with respect to a quasi-arithmetic mean-type mapping, and some applications
- On the equality problem of conjugate means
- Invariance of a quasi-arithmetic mean with respect to a system of generalized Bajraktarević means
- Über gewogene Mittelwerte, insbesondere gewogene geometrische Mittel
- Interpolating the arithmetic--geometric mean inequality and its operator version
- Invariance in a class of Bajraktarević means
- An invariance of geometric mean with respect to Lagrangian means
- Computer aided solution of the invariance equation for two-variable Gini means
- Computer aided solution of the invariance equation for two-variable Stolarsky means
- The invariance of the arithmetic mean with respect to generalized quasi-arithmetic means
- Invariance of quasi-arithmetic means with function weights
- A stochastic functional equation
- Invariant and complementary quasi-arithmetic means
- Mean value property and associated functional equations
- Limit properties of quasi-arithmetic means
- On the composition of homogeneous quasi-arithmetic means
- Lagrangian means
- Equality of two variable Cauchy mean values
- An invariance of the geometric mean with respect to Stolarsky mean-type mappings
- Parametrized means and limit properties of their Gaussian iterations
- On some invariance of the quotient mean with respect to Makó-Páles means
- On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means
- Regularity properties of functional equations in several variables.
- On linear combinations of weighted quasi-arithmetic means
- Equality of two variable weighted means: Reduction to differential equations
- On the characterization of quasiarithmetic means with weight function
- On iteration semigroups of mean-type mappings and invariant means
- The Matkowski-Sutô problem for weighted quasi-arithmetic means
- On two-variable means with variable weights
- Functional equations on convex sets
- Matkowski-Sutô type equation on symmetrized weighted quasi-arithmetic means
- Invariance of the Cauchy means with respect to Lagrange mean-type mappings of the same generators
- On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom
- Determination of conjugate means by reducing to the generalized Matkowski-Sütő equation
- An invariance of geometric mean with respect to generalized quasi-arithmetic means
- Invariance of the arithmetic mean with respect to special mean-type mappings
- On the compounding of certain means
- Lagrangean mean-type mappings for which the arithmetic mean is invariant
- Di una formula comprensiva delle medie
- Beiträge zur Störungstheorie der Spektralzerlegung
- On a Class of Means of Several Variables
- Iterated quasi-arithmetic mean-type mappings
- Characterization of generalized quasi-arithmetic means
- Invariance of the Bajraktarević means with respect to the Beckenbach-Gini means
- Generalized weighted quasi-arithmetic means and the Kolmogorov–Nagumo theorem
- Invariance in Some Families of Means
- Invariance of Bajraktarevic mean with respect to quasi arithmetic means
- Invariance identity in the class of generalized quasiarithmetic means
- Invariant means related to classical weighted means
- On the invariance equation for Heinz means
- A new estimate of the difference among quasi-arithmetic means
- Remarks on the comparison of weighted quasi-arithmetic means
- The Arithmetic-Harmonic Mean
- Generalizations of the Logarithmic Mean
- Iteration of random-valued functions on the unit interval
- An extension theorem for a Matkowski–Sutô problem
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