In the paper λ-method Mitrinovi´c-Vasi´c is applied aiming to improve Fink's inequality, and Shafer's inequality for arcus sinus function is observed. In monography [1, p. 247] Shafer's inequality is… (More)

In the article [17] we consider only the case when n and m are non-negative integer points determined by: n ≥ 1 is the multiplicity of the root x = a, otherwise n = 0 if x = a is not the root; and m… (More)

In this article λ-method of Mitrinović-Vasić [1] is applied to improve the upper bound for the arc sin function of L. Zhu [4]. 1. Inequalities of Shafer-Fink’s type D. S. Mitrinović in [1] considered… (More)

x+ 1 ) < x − 7 4 x+ 9 5 (2) and (x+ 2)Γ(x+ 1) > 9 5 . (3) The previous statement (Lemma 4.1. of the paper [10]) is proved by the approximative formula for the gamma function Γ(x+ 1) by the polynomial… (More)

In this paper we consider alternating Kurepa's function A(z) [4]. We give some recurrent relations for alternating Kurepa's function via appropriate sequences of rational functions and gamma… (More)

Ω(R) d −→ Ω(R) d −→ Ω(R) d −→ Ω(R), where Ωi(R) is the space of differential forms of degree i = 0, 1, 2, 3 on the space R over the ring of functions A = {f : R → R | f ∈ C(R)}. In the consideration,… (More)

Abstract. In this paper we consider the functional equation for alternating factorial sum and its particular solutions (alternating Kurepa’s function A(z) [19] and function A1(z)). We determine an… (More)

Additionally, we make an assumption that Ai are non-empty sets, for i=0, 1, . . . ,m, where m=[n/2]. For each set of functions An we determine the number of meaningful compositions of higher order in… (More)

Let us consider analogous problem for the metric space (X, d) with at least four points. Let A,B,C ∈ X be three fixed points. Then, for the point M ∈ X we suppose that a triangle can be formed from… (More)