A numerical method consists of combining Haar basis method and Tikhonov regularization method. We apply the method to solve some inverse problems for twodimensional parabolic and hyperbolic equations using noisy data. In ...

Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z) | h(z) = z + ∑∞ n=2 anzⁿ, g(z) = ∑∞ n=1 bnzⁿ} The purpose of this talk is to present some results about harmonic mappings which was introduced by ...

All the graphs considered in this article are simple and undirected. Let G = (V(G), E(G)) be a simple undirected Graph. A function f : V (G) → {1, 2} is called Harmonic Mean Cordial if the induced function f*: E(G) → {1, ...

The reciprocal status of a vertex u is defined as the sum of reciprocal of the distances between u and all other vertices of a graph G. In this paper we have defined the harmonic reciprocal status index and coindex of a ...

In this paper, we find the harmonious chromatic number of multicopy of complete graphs Kn. We generalize the result χH ((n + 2)Kn) > n + 1 2 ! given in [8] and also further improve the result to χH((n + 2)Kn) ≥ n + 1 2 ! ...

In this paper, by using power-mean and improved power-mean integral inequality and an general identity for differentiable functions we can get new estimates on integral inequalities for functions whose derivatives in ...

In this paper, the notions of extension of hesitant fuzzy ideals, hesitant fuzzy prime ideals, hesitant fuzzy semiprime ideals and hesitant 3-prime fuzzy ideals in po-semigroups are introduced with some of their properties ...

Let G = (V, E) be a graph with p vertices and q edges. A bijection f : V ∪E → {1, 2, · · · , p+q} is said to be a highly total prime labeling if (i) for each edge e = uv, the labels assigned to u and v are relatively prime ...

We create the homogeneous q-difference operator Ee(a, b; θ) as an extension of the exponential operator E(bθ). A new polynomials hn(a, b, x|q−1) are defined as an extension of the q−1-Rogers-Szegö polynomial hn(a, b|q−1). ...

Explicit expressions of the Hosoya polynomials of some classes of graphs are known. In this paper we find an explicit expression for the Hosoya polynomial of the multibridge graph. Finally we give some examples of multi-bridge ...