Infinite sequences and their h-type indices

作者：

Highlights：

• H-type indices are defined for infinite sequences, denoted X, Y.

• Inequalities relating these h-type indices to different averages are studied.

• The h-index always meets these requirements, contrary to the other ones.

• h(min(X,Y)) = min(h(X),h(Y)) and h(max(X,Y)) = max(h(X),h(Y)).

• Relations between h-type indices are obtained for sequences in a given neighborhood.

摘要

•H-type indices are defined for infinite sequences, denoted X, Y.•Inequalities relating these h-type indices to different averages are studied.•The h-index always meets these requirements, contrary to the other ones.•h(min(X,Y)) = min(h(X),h(Y)) and h(max(X,Y)) = max(h(X),h(Y)).•Relations between h-type indices are obtained for sequences in a given neighborhood.

论文关键词：Inequalities,h-index,Generalized h-index,g-index,R-index

论文评审过程：Received 10 November 2018, Revised 11 January 2019, Accepted 11 January 2019, Available online 23 January 2019, Version of Record 23 January 2019.

论文官网地址：https://doi.org/10.1016/j.joi.2019.01.005