Themistocles M. Rassias

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Where you can find the topics in polynomials extremal problems inequalities zeros easily? Is it in the book store? On-line book store? are you sure? Keep in mind that you will find the book in this site. This book is very referred for you because it gives not only the experience but also lesson. The lessons are very valuable to serve for you, that's not(More)
The authors aim at presenting a systematic investigation of several families of infinite series which are associated with the Riemann Zeta function, the Digamma (and Polygamma) functions, the harmonic (and generalized harmonic) numbers, and the Stirling numbers of the first kind. Relevant connections of the results derived here with those considered in many(More)
and Applied Analysis 3 x ν αx, t ν x, t/|α| for each α/ 0, xi ν x, t ν y, s ≥ ν x y, t s , xii ν x, · : 0,∞ → 0, 1 is continuous, xiii limt→∞ν x, t 0 and limt→ 0ν x, t 1. In this case μ, ν is called an intuitionistic fuzzy norm. Example 1.4 cf. 37 . Let X, ‖·‖ be a normed space, a∗b ab, and a b min a b, 1 for all a, b ∈ 0, 1 . For all x ∈ X and every t > 0(More)
A classical question in the theory of functional equations is the following: “When is it true that a function which approximately satisfies a functional equation E must be close to an exact solution of E?” If the problem accepts a solution, we say that the equation E is stable. The first stability problem concerning group homomorphisms was raised by Ulam(More)
It is well known that the theory of ̈ariational inequalities is now very well developed. The development of this theory has been stimulated by the diversity of applications in physics, mechanics, elasticity, fluid mechanics, w x economics, engineering, etc. 19 . The number of papers published on this subject is impressive. The solvability of variational(More)
In this paper, we develop a new cubic spline method for computing approximate solution of a system of fourth-order boundary value problems associated with obstacle, unilateral and contact problems. It is shown that the present method is of order two and gives approximations which are better than those produced by some other collocation, finite difference(More)
The main aim of this paper is to give a complete proof to the open inequality with power-exponential functions a + b ≥ a + b, which holds for all positive real numbers a and b. Notice that this inequality was proved in [1] for only a ≥ b ≥ 1 e and 1 e ≥ a ≥ b. In addition, other two open inequalities with power-exponential functions are proved, and three(More)
According to semigroup theories and Sadovskii fixed point theorem, this paper is mainly concerned with the existence of solutions for an impulsive neutral differential and integrodifferential systems with nonlocal conditions in Banach spaces. As an application of this main theorem, a practical consequence is derived for the sub-linear growth case. In the(More)