Abstract. In this short note the authors give answers to the three open problems formulated by Wu and Srivastava [Appl. Math. Lett. 25 (2012), 1347–1353]. We disprove the Problem 1, by showing that there exists a triangle which does not satisfies the proposed inequality. We prove the inequalities conjectured in Problems 2 and 3. Furthermore, we introduce an optimal refinement of the inequality ...

∥ ≤ 1 2 |Γ− γ| holds, then we have the inequality (1.3) |〈x, y〉 − 〈x, e〉 〈e, y〉| ≤ 1 4 |Φ− φ| |Γ− γ| . The constant 1 4 is best possible in the sense that it cannot be replaced by a smaller constant. The following particular instances for integrals and means are useful in applications. Corollary 1. Let f, g : [a, b] → K (K = C,R) be Lebesgue measurable and such that there exists the constants φ...

This study examined concurrent influences on the will to live in 189 patients with end-stage cancer The authors found significant correlations between the will to live and existential, psychological, social, and, to a lesser degree, physical sources of distress. Existential variables proved to have the most influence, with hopelessness, burden to others, and dignity entering into the final mode...

Abstract Previous applications of existential philosophy to tourism have focused on the work Martin Heidegger but neglected contribution Jean-Paul Sartre. This paper examines relevance Sartre's concept ‘bad faith’ tourism. Bad faith is a way living based inauthenticity, self-deception, and disregard for Other. The explores manifestation bad in three contemporary scenarios: flying its implicatio...

and Applied Analysis 3 Now, let f̃ : R 1 → R be a continuous function, T -periodic with respect to the first variable, and consider the nth-order differential equation u n f̃ ( t, u, u′, u′′, . . . , u n−1 ) . 2.5 Lemma 2.1 see 14 . Assume that the following conditions hold. i There exists ρ > 0 such that, for each λ ∈ 0, 1 , one has that any possible T -periodic solution u of the problem u n λf̃ ...

One of the interesting questions in the theory of functional equations concerning the problem of the stability of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to an exact solution of the given functional equation? The first stability problem was raised by Ulam during his talk at the University of Wisconsin in 194...

Self is difficult to define because of its multiple, constitutive streams of functional existence. A more comprehensive and expanded definition of self is proposed. The standard bio-psycho-social model of psyche is expanded to biophysical-mental-social and existential self. The total human experience is better understood and explained by adding the existential component. Existential refers to l...