Published

Full texts


  1. When is a family of generalized means a scale?
    In: Real Anal. Exchange 38, no. 1 (2013), 193-210.
  2. On some Hardy type inequalities involving generalized means
    In: Publ. Math. Debrecen 87, no. 1-2 (2015), 167-173.
  3. A new estimate of the difference among quasi-arithmetic means
    In: Math. Inequal. Appl. 18, no. 4 (2015), 1321-1327.
  4. On negative results concerning Hardy means
    In: Acta Math. Hungar. 146, no. 1 (2015), 98-106.
  5. Scales of quasi-arithmetic means determined by invariance property
    In: J. Difference Equ. Appl. 21, no. 8 (2015), 742-755.
  6. Iterated quasi-arithmetic mean-type mappings
    In: Colloq. Math. 144, no. 2 (2016), 215-228.
  7. Limit properties in a family of quasi-arithmetic means
    In: Aequationes Math. 90, no. 4 (2016), 773-785.
  8. Characterization of the Hardy property of means and the best Hardy constants
    With: Zs. Páles; In: Math. Inequal. Appl. 19, no. 4 (2016), 1141-1158.
  9. On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means
    With: Zs. Páles; In: Math. Inequal. Appl. 21, no. 2 (2018), 585-599.
  10. On Kedlaya-type inequalities for weighted means
    With: Zs. Páles; In: J. Inequal. Appl. (2018), Paper No. 99.
  11. Interval-type theorems concerning means
    In: Ann. Univ. Paedagog. Crac. Stud. Math. 17 (2018), 37-43.
  12. On the quasi-arithmetic Gauss-type iteration
    In: Aequationes Math. 92, no. 6 (2018), 1119-1128.
  13. Lower estimation of the difference among quasi-arithmetic means
    In: Aequationes Math. 92, no. 1 (2018), 7-24.
  14. Simultaneous difference equations in a bounded domain
    With: W. Jarczyk; In: Aequationes Math. 93, no. 1 (2019), 239-246.
  15. On Hardy type inequalities for weighted means
    With: Zs. Páles; In: Banach J. Math. Anal. 13, no. 1 (2019), 217-233.
  16. Interval-type theorems concerning quasi-arithmetic means
    In: Math. Inequal. Appl. 22, no. 2 (2019), 509-518.
  17. Invariant property for discontinuous mean-type mappings
    In: Publ. Math. Debrecen 93, no. 3-4 (2019), 409-419.
  18. On the homogenizations of means
    With: Zs. Páles; In: Acta Math. Hungar. 159, no. 2 (2019), 537-562.
  19. Weakening of the Hardy property for means
    In: Bull. Aust. Math. Soc. 101, no. 1 (2020), 118-129.
  20. On Hardy type inequalities for weighted quasideviation means
    With: Zs. Páles; In: Math. Inequal. Appl. 23, no. 3 (2020), 971-990.
  21. Jensen-type geometric shapes
    In: Ann. Univ. Paedagog. Crac. Stud. Math. 19 (2020), 27-33.
  22. On a lattice-like property of quasi-arithmetic means
    In: J. Math. Anal. Appl. 486, no. 1 (2020), Art. No. 123892.
  23. Invariant means and iterates of mean-type mappings
    With: J. Matkowski; In: Aequationes Math. 94, no. 3 (2020), 405-414.
  24. Invariant means, complementary averages of means, and a characterization of the beta-type means
    With: J. Matkowski; In: Mathematics 8, no. 10 (2020), Art. No. 1753.
  25. From the Ingham-Jessen property to mixed-mean inequalities
    With: J. Chudziak, Zs. Páles; In: J. Math. Anal. Appl. 499, no. 1 (2021), Art. No. 124999.
  26. New bounds for the ratio of power means
    With: Zs. Páles; In: J. Math. Inqual. 15, no. 3 (2021), 1233-1237.
  27. Online premeans and their computation complexity
    In: Results Math. 76 (2021), Art. No. 141.
  28. On the Jensen convex and Jensen concave envelopes of means
    With: Zs. Páles; In: Arch. Math. (Basel) 116, no. 4 (2021), 423-432.
  29. Quasi-arithmetic-type invariant means on probability space
    With: B. Deręgowska; In: Aequationes Math. 95, no. 4 (2021), 639-651.
  30. Mean-type mappings and invariance principle
    With: J. Matkowski; In: Math. Inequal. Appl. 24, no. 1 (2021), 209-217.
  31. On the Hardy property of mixed means
    In: Math. Inequal. Appl. 24, no. 3 (2021), 873-885.
  32. On properties of weighted Hardy constant for means
    In: Math. Inequal. Appl. 25, no. 4 (2022), 1047-1068.
  33. On the integral approach to means and their Hardy property
    In: Rev. R. Acad. Cienc. Exactas Fí­s. Nat. Ser. A Mat. RACSAM 116 (2022), Art. No. 142.
  34. There is at most one continuous invariant mean
    In: Aequationes Math. 96, no. 4 (2022), 833-841.
  35. On the \(L^1\) and pointwise divergence of continuous functions
    With: K. Gryszka; In: Period. Math. Hungar. 87, no. 1 (2023), 75-85.
  36. Error recognition in the Cantor cube
    In: Ann. Univ. Paedagog. Crac. Stud. Math. 22 (2023), 75-86.
  37. Estimating the Hardy constant of nonconcave Gini means
    With: Zs. Páles; In: Math. Inequal. Appl. 26, no. 1 (2023), 195-203.
  38. On negative results concerning weak-Hardy means
    In: Colloq. Math. 171, no. 1 (2023), 153-158.
  39. Invariance property for extended means
    In: Results Math. 78 (2023), Art. No. 146.
  40. Correction to: There is at most one continuous invariant mean
    With: Z. Boros, R. Lovas; In: Aequationes Math. 97, no. 4 (2023), 883-885.
  41. On the Jensen convexity of quasideviation and Bajraktarević means
    With: Zs. Páles; In: Aequationes Math. 97, no. 5-6 (2023), 1201-1219.
  42. Decision making via generalized Bajraktarević means
    With: Zs. Páles; In: Ann. Oper. Res. 332, no. 1-3 (2024), 461-480.
  43. Extension theorem for simultaneous q-difference equations and some its consequences
    With: W. Jarczyk; In: Results Math. 79 (2024), Art. No. 262.
  44. On the invariance equation for means of generalized power growth
    In: Math. Inequal. Appl. 27, no. 3 (2024), 691-702.
  45. Estimating the Hardy constant of nonconcave homogenous quasideviation means
    With: Zs. Páles; In: Ann. Math. Sil. 38, no. 1 (2024), 78-92.
  46. Pexider invariance equation for embeddable mean-type mappings
    In: Aequationes Math. 99, no. 2 (2025), 611-622.
  47. Multivariable generalizations of bivariate means via invariance
    In: Aequationes Math. 99, no. 3 (2025), 841-861.
  48. A nonlinear model of evolution of beliefs in social networks
    With: P. Burai; In: Network Science 13, no. e16 (2025), 1-23.
  49. Equality and comparison of generalized quasi-arithmetic means
    With: Zs. Páles; In: Rev. R. Acad. Cienc. Exactas Fí­s. Nat. Ser. A Mat. RACSAM 120 (2026), Art. No. 19.

Preprints

  1. On the new smoothness class of means and its impact to mean-type mappings
    arXiv:2406.12491.
  2. Hölder- and Minkowski-type inequalities for generalized quasi-arithmetic means
    With: Zs. Páles; arXiv:2511.05411.
  3. On subadditive quasiarithmetic means
    With: Zs. Páles; arXiv:2603.15324.

Contact

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