Pseudostarlike and pseudoconvex Dirichlet series of the order $\alpha$ and the type $\beta$
The concepts of the pseudostarlikeness of order $\alpha\in [0,\,1)$ and type $\beta\in (0,\,1]$ and the pseudoconvexity of order $\alpha$ and type $\beta$ are introduced for Dirichlet series with null abscissa of absolute convergence.
M.M. Sheremeta
doaj +1 more source
On certain subclass of Dirichlet series absolutely convergent in half-plane
Denote by $\mathfrak{D}_0$ a class of absolutely convergent in half-plane $\Pi_0=\{s\colon \text{Re}\,s 0$, $h0$. For $0\le\alpha\alpha$ for all $s\in \Pi_0$.
M. M. Sheremeta
doaj +1 more source
Hermite-Hadamard Type Inequalities for Composite Log-Convex Functions [PDF]
© 2020 by authors, all rights reserved. Hermite-Hadamard type inequalities related to convex functions are widely being studied in functional analysis. Researchers have refined the convex functions as quasi-convex, h-convex, log-convex, m-convex, (α,m)-convex and many more.
Alam, NMFHNB +2 more
openaire +2 more sources
Mathematical evaluation on the applicability of bolter miners based on variable weight fuzzy theory
With remote automatic control and ground control, bolter miners have the significant technical advantages of digging-bolting-drilling, full width cutting, driving-bolting synchronization, bolting-transporting parallel, multi-anchor balance and so on, and
Jingong MA, Dejun SONG
doaj +1 more source
Relative growth of Hadamard compositions of entire Dirichlet series
Summary: Let \(F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}\) and \(F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\}\) be entire Dirichlet series with exponents \( 0\le\lambda_n\uparrow+\infty\). The function \(F\) is called Hadamard composition of the genus \(m \geq 1\) of the functions \(F_j\) if \( a_n=P(a_{n,1},\dots ,a_{n,p ...
Mulyava, Oksana +2 more
openaire +1 more source
On the novel Hermite-Hadamard inequalities for composite inverse functions
The goal of this research is to discover some identities in the general form of the sum of left and right-sided weighted fractional integrals of a function concerning to another function. Using composite convex functions, several fractional Hermite-Hadamard inequalities are derived.
Muhammad Samraiz +4 more
openaire +1 more source
Linear Codes and the Existence of a Reversible Hadamard Difference Set inZ2×Z2×Z45
Linear codes overGF(5) are utilized for the construction of a reversible abelian Hadamard difference set inZ2×Z2×Z45. This is the first example of an abelian Hadamard difference set in a group of order divisible by a primep≡1 (mod 4).
Tonchev, Vladimir D., van Eupen, M.
core +2 more sources
On some compositions of Hadamard type in classes of analytic functions [PDF]
(1) ft(s) £ — «• n-i n leads to an element of the same class. A little weaker conjecture than I would be the following: CONJECTURE I I . h(z) has a nonvanishing derivative in \z\ < 1 . The Conjecture I would mean that under this composition rule 5 forms a semi-group containing the unit element z/(l— z).
Loewner, C., Netanyahu, E.
openaire +3 more sources
Some Cryptographic Properties of Functions Based on their 2q-Nega-Hadamard Transform [PDF]
Negabent functions play a vital role in the field of cryptography and coding theory for designing secure cryptosystems. In this article, we investigate the various properties of 2q-nega-Hadamard transform (2q-NHT) of the functions from Z_q^n to Z_2q with
Deep Singh +4 more
doaj +1 more source
Composite Minimization Problems in Hadamard Spaces
In this paper, we prove some Δ-convergence and strong convergence results for the sequence generated by a new algorithm to a minimizer of two convex functions and a common fixed point for quasi-pseudo-contractive mappings in Hadamard spaces. Our theorems improve and generalize some recent results in the literature.
openaire +2 more sources

