Dictionary of Inequalities, 2nd Edition

Dictionary of Inequalities, 2nd Edition

by Peter Bullen
Released June 2015
Publisher(s): Chapman and Hall/CRC
ISBN: 9781482237627

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Book description

Adding new results that have appeared in the last 15 years, this second edition provides an easy way for researchers to locate an inequality by name or subject. This edition offers an up-to-date, alphabetical listing of each inequality with a short statement of the result, some comments, references to related inequalities, and sources of information on proofs and other details. It includes more than 100 new inequalities, a new name index, and an updated bibliography that contains URLs for important references.

Table of contents

  1. Cover (1/2)
  2. Cover (2/2)
  3. Dedication
  4. Contents
  5. Introduction
  6. Notations (1/4)
  7. Notations (2/4)
  8. Notations (3/4)
  9. Notations (4/4)
  10. 1: Abel–Arithmetic (1/3)
  11. 1: Abel–Arithmetic (2/3)
  12. 1: Abel–Arithmetic (3/3)
  13. 2: Backward–Bushell (1/5)
  14. 2: Backward–Bushell (2/5)
  15. 2: Backward–Bushell (3/5)
  16. 2: Backward–Bushell (4/5)
  17. 2: Backward–Bushell (5/5)
  18. 3: Čakalov–Cyclic (1/6)
  19. 3: Čakalov–Cyclic (2/6)
  20. 3: Čakalov–Cyclic (3/6)
  21. 3: Čakalov–Cyclic (4/6)
  22. 3: Čakalov–Cyclic (5/6)
  23. 3: Čakalov–Cyclic (6/6)
  24. 4: Davies–Dunkl (1/2)
  25. 4: Davies–Dunkl (2/2)
  26. 5: Efron–Extended (1/3)
  27. 5: Efron–Extended (2/3)
  28. 5: Efron–Extended (3/3)
  29. 6: Factorial–Furuta (1/3)
  30. 6: Factorial–Furuta (2/3)
  31. 6: Factorial–Furuta (3/3)
  32. 7: Gabriel–Guha (1/4)
  33. 7: Gabriel–Guha (2/4)
  34. 7: Gabriel–Guha (3/4)
  35. 7: Gabriel–Guha (4/4)
  36. 8: Haber–Hyperbolic (1/6)
  37. 8: Haber–Hyperbolic (2/6)
  38. 8: Haber–Hyperbolic (3/6)
  39. 8: Haber–Hyperbolic (4/6)
  40. 8: Haber–Hyperbolic (5/6)
  41. 8: Haber–Hyperbolic (6/6)
  42. 9: Incomplete–Iyengar (1/2)
  43. 9: Incomplete–Iyengar (2/2)
  44. 10: Jackson-Jordan (1/2)
  45. 10: Jackson-Jordan (2/2)
  46. 11: Kaczmarz–Ky Fan (1/2)
  47. 11: Kaczmarz–Ky Fan (2/2)
  48. 12: Labelle–Lyons (1/4)
  49. 12: Labelle–Lyons (2/4)
  50. 12: Labelle–Lyons (3/4)
  51. 12: Labelle–Lyons (4/4)
  52. 13: Mahajan–Myers (1/5)
  53. 13: Mahajan–Myers (2/5)
  54. 13: Mahajan–Myers (3/5)
  55. 13: Mahajan–Myers (4/5)
  56. 13: Mahajan–Myers (5/5)
  57. 14: Nanjundiah–Number (1/2)
  58. 14: Nanjundiah–Number (2/2)
  59. 15: Operator–Ōzeki (1/2)
  60. 15: Operator–Ōzeki (2/2)
  61. 16: Pachpatte–Ptolemy (1/4)
  62. 16: Pachpatte–Ptolemy (2/4)
  63. 16: Pachpatte–Ptolemy (3/4)
  64. 16: Pachpatte–Ptolemy (4/4)
  65. 17: Q-class–Quaternion (1/2)
  66. 17: Q-class–Quaternion (2/2)
  67. 18: Rademacher–Rotation (1/3)
  68. 18: Rademacher–Rotation (2/3)
  69. 18: Rademacher–Rotation (3/3)
  70. 19: Saffari–Székely (1/6)
  71. 19: Saffari–Székely (2/6)
  72. 19: Saffari–Székely (3/6)
  73. 19: Saffari–Székely (4/6)
  74. 19: Saffari–Székely (5/6)
  75. 19: Saffari–Székely (6/6)
  76. 20: Talenti–Turán (1/2)
  77. 20: Talenti–Turán (2/2)
  78. 21: Ultraspherical–von Neumann
  79. 22: Wagner–Wright (1/2)
  80. 22: Wagner–Wright (2/2)
  81. 23: Yao–Zeta (1/2)
  82. 23: Yao–Zeta (2/2)
  83. Bibliography (1/8)
  84. Bibliography (2/8)
  85. Bibliography (3/8)
  86. Bibliography (4/8)
  87. Bibliography (5/8)
  88. Bibliography (6/8)
  89. Bibliography (7/8)
  90. Bibliography (8/8)

Product information

  • Title: Dictionary of Inequalities, 2nd Edition
  • Author(s): Peter Bullen
  • Release date: June 2015
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781482237627