Citation: SpringerPlus 2016 5:49
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Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also cons...
Citation: SpringerPlus 2015 4:831
For any fixed power exponent, it is shown that the first digits of powerful integer powers follow a generalized Benford law (GBL) with size-dependent exponent that converges asymptotically to a GBL with the in...
Citation: SpringerPlus 2015 4:576
Fixed point iteration for a countable family of multi-valued strictly pseudo-contractive-type mappings
This paper introduces a new averaged algorithm for finding a common fixed point of a countably infinite family of generalized k-strictly pseudocontractive multi-valued mappings. The new iterative sequence introdu...
Citation: SpringerPlus 2015 4:506
Citation: SpringerPlus 2015 4:390
Recently Holliday and Komatsu extended the results of Ohtsuka and Nakamura on reciprocal sums of Fibonacci numbers to reciprocal sums of generalized Fibonacci numbers. The aim of this work is to give similar r...
Citation: SpringerPlus 2014 3:485
Citation: SpringerPlus 2014 3:258
Let M be a 2‐torsion free prime Γ‐ring satisfying the condition a α b β c=a β b α c,∀a,b,c∈M and α,β∈Γ, U be an admissible Lie ideal of M and F=(f i )i∈N be a generalized higher ...
Citation: SpringerPlus 2014 3:100