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In the present paper we give a brief review of L 1 -convergence of trigonometric series. Previous known results in this direction are improved and generalized by establishing a new condition.

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. 1997 66 373 389 Alzer, H. and Berg, C. , Some classes of completely monotonic functions, Ann. Acad. Sci

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Abstract

Let expX be the power set of a non-empty set X. A function γ: expX→expX is said to be monotonic iff ABX implies γAγB. Császár [2] investigated relations between the monotonic functions. The purpose of the paper is to investigate some results concerning particular monotonic functions.

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index, those by Woeginger ( 2008a , b ) and Quesada ( 2009 ) hinging on the property of monotonicity: more papers or citations do not lower the index. Marchant ( 2009 ), instead of characterizing the index itself, characterizes the ranking that the

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innovation performance is monotonically positive. Hypothesis 1b (H 1b ) The relationship between RTD of a firm and its corporate growth is monotonically positive. The influence of UTD on both of innovation performance and

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questionable, (3) the parallel between the evolution of thermodynamic and bibliometric systems is forced, (4) X is a non-monotonic performance indicator, and (5) in bibliometrics the condition of “thermodynamic perfection” is questionable. The

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) There is a monotonically positive relationship between RTD of a firm and its technological competences. The relationship between UTD and technological competences Unrelated TD is defined as the extent to which a firm

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We find upper and lower bounds for the probability of a union of events which generalize the well-known Chung-Erdős inequality. Moreover, we will show monotonicity of the bounds.

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