[PDF] Top 20 Some characterizations of specially multiplicative functions

... A multiplicative function f is said to be specially multiplicative if there is a com- pletely multiplicative function f A such that f (m)f (n) = d|(m,n) f (mn/d 2 )f A (d) for all m and ... See full document

... known characterizations of two particular classes of functions, namely, those in Ꮿ (1, 1), that is, totients (see [7]), and those in Ꮿ (2, 0), that is, specially multiplicative ... See full document

... various characterizations of β -closed spaces [ 2 ] , specially, in terms of new types of graphs under the terminology β - θ -subclosed graphs of functions and in terms of a generalized complete ... See full document

... Two functions f, g are affine equivalent if there exist affine transformations between ...two functions are equivalent is given in ...input functions, if one ... See full document

... Boolean functions with a given multiplicative com- ...of functions with a certain multiplicative complexity by summing the number of Boolean functions within each equivalence ...of ... See full document

... For each equivalence class representative, an MC-optimal circuit has been constructed. This allows us to construct optimal circuits for any Boolean func- tion with MC up to 4 independent of the number of variables the ... See full document

... Agamirza E. Bashirov joined the Department of Mathematics of the East- ern Mediterranean University after defending his Doctor of Sciences disser- tation in mathematics at the Kiev State University in 1991 and he held ... See full document

... or multiplicative disturbances can be seen by considering the equivalence between equilib- rium outcomes under probabilistic voting and the maximization of a social welfare ...or multiplicative cases ... See full document

... The following result of the Hermite-Hadamard type holds for class of harmonically convex functions.. Theorem 2.1.[r] ... See full document

... convex functions was first considered by Motel 1, in a beautiful paper discussing the analogues of the notion of convex function in n ...of multiplicative convexity seems to be even forgotten, which is a ... See full document

... The completely monotonic functions are useful in various branches, including mathematical analysis, probability theory and numerical analysis. Many papers have appeared providing inequalities for the gamma and ... See full document

... Boolean functions that can be generated using k AND ...Boolean functions with multiplicative complexity of at least ...Boolean functions with multiplicative complexity n, for n = 5, 6, ... See full document

... By using sp - open sets, many characterizations and properties of the said type of functions are investigated.. INTRODUCTION.[r] ... See full document

... Key words and phrases: additive, multiplicative, q-additive, q-multiplicative functions, continuous homomorphism, sets of uniqueness, sets of uniqueness mod 1 , distribution of additive [r] ... See full document

... Remark 1.1. It should be remarked that our Q K,ω classes are more general than many classes of analytic functions. If ω ≡ 1, we obtain Q K (p, p) type spaces (cf. [14] and [15]). If p = 2, and ω(t) = t, we obtain ... See full document

... continuous functions by using the notion of ωβ − open ...give some characterizations of ωβ − Continuous functions, define ωβ − irresolute and ωβ − open ... See full document

... Throughout this section, Ω refers to any non-empty open subset of R n different from R n . Hence, its boundary ∂Ω is not empty and Reach(∂Ω) is well defined (cf. Remark 1.3). First, we establish some useful ... See full document

... The algebraic structure of set theory dealing with uncertainty has been studied by some au- thors. In 1971, Azriel Rosenfield presented a seminal paper on fuzzy subgroup and W.J. Liu developed the concept of fuzzy ... See full document

... Abstract. In this paper we studied different properties of 0-distributive nearlattices. Here we prove that for a filter A of S, A 0 = { x ∈ S x ∧ a = 0 , for some a ∈ A } is an ideal if and only if S is ... See full document

... give some new characterizations for the Bloch ...give some preliminary results which are used in the proofs of our main ...new characterizations for the Bloch space on ...new ... See full document