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Research

Dr Graham Jameson

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  1. 2024
  2. Forthcoming

    Some applications of the Chebyshev polynomials to polynomials in general

    Jameson, G., 4/01/2024, (Accepted/In press) In: Mathematical Gazette. 109

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  3. 2023
  4. Forthcoming

    The maximum modulus of a complex polynomial on the unit circle

    Jameson, G., 22/10/2023, (Accepted/In press) In: Mathematical Gazette. 109, 5 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  5. Published

    Some inequalities for power means: a problem from "The logarithmic mean revisited"

    Jameson, G., 30/09/2023, In: American Mathematical Monthly. 130, 3, p. 276-278 3 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  6. Forthcoming

    An alternating recursion: proof of a conjecture by Erik Vigren

    Jameson, G., 19/05/2023, (Accepted/In press) In: Mathematical Gazette. 3 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  7. Forthcoming

    Recursive averages and the renewal theorem

    Jameson, G., 16/03/2023, (Accepted/In press) In: Mathematical Gazette. 108, 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  8. 2022
  9. Published

    Another identity relating to Hardy's inequality for ℓ2

    Jameson, G., 31/12/2022, In: Mathematical Inequalities and Applications. 25, 4, p. 1143-1145 3 p., 25-70.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  10. Forthcoming

    Equally spaced squares and some impossible identities

    Jameson, G., 6/10/2022, (Accepted/In press) In: Mathematical Gazette. 8 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  11. Published

    An equality underlying Hardy's inequality

    Jameson, G., 31/05/2022, In: American Mathematical Monthly. 129, 6, p. 582-586 5 p., 6.

    Research output: Contribution to Journal/Magazine › Comment/debate › peer-review

  12. Published

    Equal sums, sums of squares and sums of cubes

    Jameson, G., 31/03/2022, In: Mathematical Gazette. 106, 565, p. 54-60 7 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  13. Published

    The majorisation principle for convex functions

    Jameson, G., 31/03/2022, In: Mathematical Gazette. 106, 565, p. 95-102 8 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  14. Forthcoming

    Various perspectives on a pair of simple inequalities for log x

    Jameson, G., 20/03/2022, (Accepted/In press) In: Mathematical Gazette. 107

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  15. Forthcoming

    Fourier coefficients of 1/sin theta and theta/sin theta

    Jameson, G., 18/02/2022, (Accepted/In press) In: Mathematical Gazette. 107, 9 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  16. 2021
  17. Published

    Monotonicity of the mid-point and trapezium estimates for integrals

    Jameson, G., 30/11/2021, In: Mathematical Gazette. 105, 564, p. 433-441 9 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  18. Published

    Revisiting even and odd square-free numbers

    Jameson, G., 31/07/2021, In: Mathematical Gazette. 105, 563, p. 299-300 2 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  19. Forthcoming

    Approximating Lipschitz and continuous functions by polynomials: Jackson's theorem

    Jameson, G., 14/06/2021, (Accepted/In press) In: Mathematical Gazette. 107, 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  20. Forthcoming

    Hardy's inequality for averages

    Jameson, G., 17/05/2021, (Accepted/In press) In: Mathematical Gazette. 107, 9 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  21. Published

    The ell-p norm of C-I, where C is the Cesaro operator

    Jameson, G., 30/04/2021, In: Mathematical Inequalities and Applications. 24, 2, p. 551-557 7 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  22. Published

    105.09 Monotonic ratios of functions

    Jameson, G. J. O., 31/03/2021, In: Mathematical Gazette. 105, 562, p. 129-134 6 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  23. Published

    Two ways to generate monotonic sequences: Convexity and ratios

    Jameson, G. J. O., 31/03/2021, In: Mathematical Gazette. 105, 562, p. 16-26 11 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  24. 2020
  25. Published

    Meaningful and co-meaningful sequences

    Jameson, G., 31/10/2020, In: Mathematical Inequalities and Applications. 23, 4, p. 1469-1478 10 p., 105.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  26. Published

    Monotonicity of weighted averages of convex functions

    Jameson, G., 1/04/2020, In: Mathematical Inequalities and Applications. 23, 2, p. 425–432 8 p., 23-33.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  27. 2019
  28. Published

    103.32 More on the gaps between sums of two squares

    Jameson, G. J. O., 30/11/2019, In: Mathematical Gazette. 103, 558, p. 499-503 5 p.

    Research output: Contribution to Journal/Magazine › Editorial › peer-review

  29. Published

    103.44 the denominators of the Bernoulli numbers

    Jameson, G. J. O., 30/11/2019, In: Mathematical Gazette. 103, 558, p. 541-548 8 p.

    Research output: Contribution to Journal/Magazine › Comment/debate › peer-review

  30. Published

    Operator-valued versions of matrix-norm inequalities

    Jameson, G., 31/10/2019, In: American Mathematical Monthly. 126, 9, p. 809-815 7 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  31. Published

    The Logarithmic Mean Revisited

    Jameson, G. & Mercer, P. R., 15/07/2019, In: American Mathematical Monthly. 126, 7, p. 641-645 5 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  32. Published

    A logarithmic estimate for harmonic sums and the digamma function, with an application to the Dirichlet divisor problem

    Jameson, G. J. O., 27/05/2019, In: Journal of Inequalities and Applications. 2019, 1, 9 p., 151.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  33. 2017
  34. Published

    A harmonic mean inequality for the digamma function and related results

    Alzer, H. & Jameson, G., 12/05/2017, In: Rendiconti del Seminario Matematico della Universit`a di Padova. 137, p. 203-209 7 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  35. 2016
  36. Published

    An inequality for integrals of the form ∫x∞ f (t)eit dt

    Jameson, G. J. O., 06/2016, In: Journal of Mathematical Inequalities. 10, 2, p. 505-509 5 p., 10-39.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  37. Published

    Convexity of Γ (x) Γ (1/x)

    Jameson, G. J. O., 2016, In: Mathematical Inequalities and Applications. 19, 3, p. 949-953 5 p., 19-69.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  38. 2013
  39. Published

    The Giesy-James theorem for general index p, with an application to operator ideals on the pth James space

    Bird, A., Jameson, G. & Laustsen, N., 2013, In: Journal of Operator Theory. 70, 1, p. 291-307 17 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  40. 2006
  41. Published

    The number of zeros of a sum of fractional powers.

    Jameson, G. J. O., 8/06/2006, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 462, 2070, p. 1821-1830 10 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  42. 2004
  43. Published

    Refining Jensen's inequality.

    Jameson, G. J. O., Abramovich, S. & Sinnamon, G., 1/12/2004, In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie. 47 (95, 1-2, p. 3-14 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  44. Published

    Inequalities for Averages of Convex and Superquadratic Functions.

    Jameson, G., Abramovich, S. & Sinnamon, G., 3/08/2004, In: Journal of Inequalities in Pure and Applied Mathematics. 5, 4, p. 1-14 14 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  45. 2003
  46. Published

    The ratio between the tail of a series and its approximating integral.

    Jameson, G. J. O., 1/04/2003, In: Journal of Inequalities in Pure and Applied Mathematics. 4, 2, p. 1-12 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  47. Published

    The prime number theorem.

    Jameson, G. J. O., 2003, England: Cambridge University Press. 252 p. (London mathematical society student texts 53)

    Research output: Book/Report/Proceedings › Book

  48. 2002
  49. Published

    Norms of certain operators on weighted L-spaces and Lorentz sequence spaces.

    Jameson, G. J. O. & Lashkaripour, R., 1/03/2002, In: Journal of Inequalities in Pure and Applied Mathematics. 3, 1, p. 1-17 17 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  50. 2000
  51. Published

    Monotonic averages of convex functions.

    Bennet, G. & Jameson, G. J. O., 1/12/2000, In: Journal of Mathematical Analysis and Applications. 252, 1, p. 410-430 21 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  52. Published

    Lower bounds of operators on weighted lp spaces and Lorentz sequence spaces.

    Jameson, G. J. O. & Lashkaripour, R., 2000, In: Glasgow Journal of Mathematics. 42, p. 211-223 13 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  53. 1999
  54. Published

    Norms and lower bounds of operators on the Lorentz sequence space d(w,1).

    Jameson, G. J. O., 1999, In: Illinois Journal of Mathematics. 43, p. 79-99 21 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  55. 1998
  56. Published

    The q-concavity constants of Lorentz sequence spaces and related inequalities.

    Jameson, G. J. O., 01/1998, In: Mathematische Zeitschrift. 227, 1, p. 129-142 14 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  57. 1996
  58. Published

    2-convexity and 2-concavity in Schatten ideals.

    Jameson, G. J. O., 11/1996, In: Mathematical Proceedings of the Cambridge Philosophical Society. 120, 4, p. 697-701 5 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  59. Published

    Khinchin's inequality for operators.

    Jameson, G. J. O., 1996, In: Glasgow Journal of Mathematics. 38, p. 327-336 10 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  60. 1995
  61. Published

    The number of elements required to determine (p,1)-summing norms.

    Jameson, G. J. O., 1995, In: Illinois Journal of Mathematics. 39, 2, p. 251-257 7 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  62. 1994
  63. Published

    A specific form of Grothendieck inequality for the 2-dimensional case, with applications to c-asterisk algebras.

    Jameson, G. J. O., 10/1994, In: Proceedings of the Edinburgh Mathematical Society. 37, 3, p. 521-537 17 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

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