- Dettagli della rivista
- Formato
- Rivista
- eISSN
- 1584-3289
- Pubblicato per la prima volta
- 30 Jul 2019
- Periodo di pubblicazione
- 2 volte all'anno
- Lingue
- Inglese

#### Cerca

Accesso libero

#### Two New Classes of Analytic Functions Defined by Strong Differential Subordinations and Superordinations

Pagine: 3 - 11

#### Astratto

In the present investigation, by making use of strong differential subordinations and superordinations, we introduce and study two new classes of holomorphic functions containing generalized differential operator. Also we determine important properties for functions belongs to these classes.

#### Parole chiave

- Holomorphic function
- Convex function
- Strong Differential Subordinations and Superordinations
- Dominant
- Subordinant
- Generalized differential operator

#### MSC 2010

- 30C45
- 30A20
- 34A40

Accesso libero

#### Certain basic information related to the Tremblay operator and some applications in connection therewith

Pagine: 13 - 21

#### Astratto

In this scientific note, an operator, which is the well-known Tremblay operator in the literature, is first introduced and some of its applications to certain analytic complex functions, which are normalized and analytic in the open unit disk, are then determined. In addition, certain special results of the related applications are also emphasized.

#### Parole chiave

- Complex plane
- Domain in the complex plane
- Normalized analytic function
- Fractional calculus
- the Tremblay operator
- Equations and inequalities in the complex plane

#### MSC 2010

- 26A33
- 34A08
- 35G10
- 35F05
- 30C55
- 30C45
- 30A10

Accesso libero

#### On Some Common Approximate Fixed Point Theorems

Pagine: 23 - 34

#### Astratto

In the present paper we establish some theorems on the existence of common approximate fixed points for a pair of generalized contractive type mappings with the property that the diameter of the set of common ∈−fixed points is tending to zero as ∈ tends to zero.

#### Parole chiave

- generalized contractive mapping
- approximate fixed point
- common approximate fixed point
- common approximate fixed point property

#### MSC 2010

- 47H10
- 54H25

Accesso libero

#### 𝕀*_{µ} open sets in generalized topological spaces

_{µ}

Pagine: 35 - 42

#### Astratto

In this paper we have introduced two new types of sets termed as 𝕀*_{µ}_{µ}

#### Parole chiave

- -open set
- ideal
- 𝕀* -open set
- strongly 𝕀-open set

#### MSC 2010

- 54C10
- 54C08

Accesso libero

#### Univalence Criteria for a General Integral Operator

Pagine: 43 - 57

#### Astratto

In this paper we introduce a new general integral operator for analytic functions in the open unit disk 𝕌 and we obtain sufficient conditions for univalence of this integral operator.

#### Parole chiave

- Integral operator
- analytic and univalent functions
- unit disk

#### MSC 2010

- 30C45
- 30C75

Accesso libero

q –analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

Pagine: 59 - 69

#### Astratto

A new subfamily of

#### Parole chiave

- –valent function
- Fractional –calculus operator
- Ruschweyh operator
- Coefficient inequality
- Weighted mean
- Arithmetic mean
- Radii structures

#### MSC 2010

- 30C45
- 30C50

Accesso libero

#### Improved error estimate and applications of the complete quartic spline

Pagine: 71 - 83

#### Astratto

In this paper an improved error bound is obtained for the complete quartic spline with deficiency 2, in the less smooth class of continuous functions. In the case of Lipschitzian functions, the obtained estimate improves the constant from Theorem 3, in J. Approx. Theory 58 (1989) 58-67. Some applications of the complete quartic spline in the numerical integration and in the construction of an iterative numerical method for fourth order two-point boundary value problems with pantograph type delay are presented.

#### Parole chiave

- deficient complete quartic spline
- error bound
- corrected Simpson’s quadrature rule

#### MSC 2010

- 65D07
- 41A15
- 65D32

Accesso libero

#### Quantitative results for positive linear operators which preserve certain functions

Pagine: 85 - 95

#### Astratto

In this paper we obtain estimations of the errors in approximation by positive linear operators which fix certain functions. We use both the first and the second order classical moduli of smoothness and a generalized modulus of continuity of order two. Some applications involving Bernstein type operators, Kantorovich type operators and genuine Bernstein-Durrmeyer type operators are presented.

#### Parole chiave

- positive linear operators
- errors estimations
- classical moduli of smoothness
- generalized modulus of continuity
- Kantorovich type operators
- genuine Bernstein-Durrmeyer type operators

#### MSC 2010

- 41A36
- 41A25

#### Astratto

We consider classical entropies associated with several continuous distributions of probabilities. Explicit expressions and properties of them are presented.

#### Parole chiave

- Entropy
- probability distribution
- positive linear operators

#### MSC 2010

- 94A17
- 60E05
- 41A36
- 41A35