Have a personal or library account? Click to login
Delta-Convexity With Given Weights Cover
By: Roman Ger  
Open Access
|May 2020

References

  1. [1] Y. Benyamini and J. Lindenstrauss, Geometric Nonlinear Functional Analysis, American Mathematical Society, Colloquium Publications, 48, American Mathematical Society, Providence, 2000.10.1090/coll/048
  2. [2] N. Bourbăcuţ, Problem 11641, Amer. Math. Monthly 119 (2012), no. 4, p. 345.
  3. [3] N. Dunford and B.J. Pettis, Linear operations on summable functions, Trans. Amer. Math. Soc. 47 (1940), 323–392.10.1090/S0002-9947-1940-0002020-4
  4. [4] R. Ger, Stability aspects of delta-convexity, in: Th.M. Rasssias, J. Tabor (eds.), Stability of Mappings of Hyers-Ulam Type, Hadronic Press, Palm Harbor, 1994, pp. 99–109.
  5. [5] R. Ger, A Functional Inequality, Solution of Problem 11641, Amer. Math. Monthly 121 (2014), no. 2, 174–175.
  6. [6] N. Kuhn, On the structure of (s, t)-convex functions, in: W. Walter (ed.), General Inequalities. 5. Proceedings of the Fifth International Conference held in Oberwolfach, May 4-10, 1986, International Series of Numerical Mathematics, 80, Birkhäuser Verlag, Basel, 1987, pp. 161–174.
  7. [7] D.Ş. Marinescu and M. Monea, An extension of a Ger’s result, Ann. Math. Sil. 32 (2018), 263–274.
  8. [8] A. Olbryś, A support theorem for delta (s, t)-convex mappings, Aequationes Math. 89 (2015), no. 3, 937–948.
  9. [9] R.S. Phillips, On weakly compact subsets of a Banach space, Amer. J. Math. 65 (1943), 108–136.10.2307/2371776
  10. [10] L. Veselý and L. Zajíček, Delta-convex Mappings Between Banach Spaces and Applications, Dissertationes Math. (Rozprawy Mat.) 289, Polish Scientific Publishers, Warszawa, 1989.
DOI: https://doi.org/10.2478/amsil-2020-0003 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 73 - 80
Submitted on: Nov 8, 2019
Accepted on: Mar 6, 2020
Published on: May 8, 2020
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Roman Ger, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.