The subject of this paper is a systematic study of inequalities of the form (1−μ)M1 +μM3 M2 (1−ν)M1 +νM3 which cover Neuman-Sándor mean and some classical means. Furthermore, following inequalities with optimal parameters were proved: μ 1 H(s,t) +(1−μ) 1 NS(s,t) 1 A(s,t) ν 1 H(s,t) +(1−ν) 1 NS(s,t)

Solomon A. Berson helped develop the radioimmunoassay (RIA) technique in the US during the twentieth century. Berson made many scientific contributions while working with research partner Rosalyn Yalow at the Bronx Veterans Administration (VA) hospital, in New York City, New York. In the more than twenty years that Berson and Yalow collaborated, they refined the procedures for tracing diagnosti...

In this paper, we prove that the double inequalities [Formula: see text] hold for all [Formula: see text] with [Formula: see text] if and only if [Formula: see text], [Formula: see text] , [Formula: see text] and [Formula: see text] , where [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], [Formula: see text] are the Toader, geometric, arithmetic and two Neu...

Nonoscillatory second order differential equations always admit “special”, principal solutions. For a certain type of oscillatory equation principal pairs of solutions were introduced by Á. Elbert, F. Neuman and J. Vosmanský, Diff. Int. Equations 5 (1992), 945–960. In this paper, the notion of principal pair is extended to a wider class of oscillatory equations. Also an interesting property of ...

The landmark paper by Neuman, et al, based on case reports and logic (all that was available at the time), provided a management algorithm which has persisted for nearly 3 decades with little modification. This case conference shall strive to (1) concisely review the conventional teaching on this topic, (2) summarize the evidence basis, and (3) provoke a reevaluation of those recommendations, w...

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