## Advances in Inequalities for SeriesThis research monograph, deals with identities and inequalities relating to series and their application. This is the first volume of research monographs on advances in inequalities for series. All of the papers in this volume have been fully peer reviewed. Some papers in this volume appear in print for the first time, detailing many technical results and some other papers offer a review of a number of recently published results. The papers appear in author alphabetical order and not in mathematics subject classification. There are fifteen diverse papers in this volume each with its own speciality. An important issue in many applications of Probability Theory is finding an approximate measure of distance, or discrimination, between two probability distributions. A number of divergence measures for this purpose have been proposed. |

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### Contents

XXXVII | 126 |

XXXVIII | 131 |

XXXIX | 134 |

XL | 135 |

XLI | 138 |

XLII | 139 |

XLIII | 143 |

XLIV | 144 |

X | 28 |

XI | 32 |

XII | 33 |

XIII | 34 |

XIV | 43 |

XV | 46 |

XVI | 47 |

XVII | 53 |

XVIII | 55 |

XIX | 59 |

XX | 65 |

XXI | 69 |

XXII | 72 |

XXIII | 78 |

XXIV | 82 |

XXV | 89 |

XXVI | 91 |

XXVII | 96 |

XXVIII | 97 |

XXIX | 100 |

XXX | 105 |

XXXI | 108 |

XXXII | 115 |

XXXIII | 117 |

XXXIV | 121 |

XXXV | 122 |

XXXVI | 124 |

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1991 Mathematics Subject 2008 Nova Science absolutely converge Advances in Inequalities Amer analytic functions analytical sum Applications binomial coefficients bounds class of functions classes of analytic classical sense coefficient estimates completes the proof Computer consider convergent series convex Corollary Definition denote divergence measures equal Example following result functions with negative g share Hadamard product Hence holds implies Inequalities for Series infinite K.S. Berenhaut Lemma Let f linear recurrences mapping Math Mathematics Subject Classification meromorphic functions Mobius function monotone quotient series multiplicity at least natural number negative coefficients Nova Science Publishers obtain operations on series Opoola partial sums permutation polydisk polynomials positive integer power series proof of Theorem properties Proposition proved rational numbers real hypernumbers real numbers Riemann series theorem S.S. Dragomir Salagean sequence Series ISBN Sofo Spec subclass sums of series Suppose Theorem 1.1 topological sum unit disc univalent functions values zero