- Journal Details
- Format
- Journal
- eISSN
- 1584-3289
- First Published
- 30 Jul 2019
- Publication timeframe
- 2 times per year
- Languages
- English

#### Search

#### Abstract

In this paper, we find conditions under which the bracket defined by a graded derivation on a Lie superalgebra (

In the case of the algebra of differential forms on a supermanifold, we study the graded commutator of graded derivations, graded skew-derivations and a graded derivation, with another graded skew-derivation of the superalgebra of differential forms on a supermanifold.

#### Keywords

- graded manifolds
- Lie superalgebra
- graded derivation
- graded skew-derivation

#### MSC 2010

- 13N15
- 17B70
- 58A50

Open Access

#### Uniqueness of p (f ) and P [f ] concerning weakly weighted-sharing

Page range: 11 - 24

#### Abstract

In the year 2006, S. Lin and W. Lin introduced the definition of weakly weighted-sharing of meromorphic functions which is between “CM” and “IM”. In this paper, using the notion of weakly weighted-sharing, we study the uniqueness of a polynomial function

#### Keywords

- Meromorphic function
- Weakly weighted share
- Small function
- Differential polynomial

#### MSC 2010

- 3030
- 3035

Open Access

#### Some Hadamard and Simpson type inequalities via s -convexity and their applications

Page range: 25 - 39

#### Abstract

In this study, the authors establish and generalize some inequalities of Hadamard and Simpson type based on

#### Keywords

- -convex functions
- Hadamard inequality
- Simpson inequality
- Bullen inequality

#### MSC 2010

- 26D07
- 26D15

Open Access

#### Common fixed points under contractive conditions of integral type

Page range: 41 - 57

#### Abstract

In this paper, we give some common fixed point theorems for a class of occasionally weakly compatible mappings satisfying contractive conditions of integral type. Our results generalize a host of previously theorems. We also present some illustrative examples which support our main results and show the applicability and validity of these results.

#### Keywords

- Weakly compatible mappings
- occasionally weakly compatible mappings
- contractive conditions
- integral type
- common fixed point theorems

#### MSC 2010

- 47H10
- 54H25

Open Access

#### Calculus for the intermediate point associated with a mean value theorem of the integral calculus

Page range: 59 - 66

#### Abstract

If

In this paper, we study the approaching of the point

#### Keywords

- intermediate point
- mean-value theorem

#### MSC 2010

- 26A24
- 11H60

Open Access

#### A refinement of Grüss inequality for the complex integral

Page range: 67 - 83

#### Abstract

Assume that

In this paper we establish some Grüss type inequalities for

#### Keywords

- Complex integral
- Continuous functions
- Holomorphic functions
- Grüss inequality

#### MSC 2010

- 26D15
- 26D10
- 30A10
- 30A86

Open Access

#### Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients II

Page range: 85 - 103

#### Abstract

In this paper, we study a class of univalent functions

A necessary and sufficient condition for a function to be in the class

#### Keywords

- Generalized Ruscheweyh derivatives
- Fractional derivative
- Integral operators
- Linear combination
- Radii of starlikeness
- Extreme points
- Weighted mean and Arithmetic mean

#### MSC 2010

- 30C45
- 30C50

Open Access

#### Generalized Briot-Bouquet differential equation based on new differential operator with complex connections

Page range: 105 - 114

#### Abstract

Inequality study is a magnificent field for investigating the geometric behaviors of analytic functions in the open unit disk calling the subordination and superordination. In this work, we aim to formulate a generalized differential-difference operator. We introduce a new class of analytic functions having the generalized operator. Some subordination results are included in the sequel.

#### Keywords

- Differential operator
- univalent function
- analytic function
- subordination
- unit disk
- inequality

#### MSC 2010

- 30C45
- 30C55

Open Access

#### A differential inequality involving Ruscheweyh operator and univalent functions

Page range: 115 - 123

#### Abstract

In the present paper, we find certain results on Ruscheweyh operator using differential inequality. In particular, we find sufficient conditions for starlike and convex functions.

#### Keywords

- Analytic function
- convex function
- starlike function
- Ruscheweyh operator

#### MSC 2010

- 30C45

Open Access

#### Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers

Page range: 125 - 140

#### Abstract

This paper is concerned with certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers. We find estimates of the initial coefficients |_{2}| and |_{3}| for the functions in these classes. Also we investigate upper bounds for the Fekete-Szegö functional and second Hankel determinant for these classes.

#### Keywords

- Sãlãgean operator
- bi-univalent functions
- subordination
- shell-like curves
- univalent functions
- starlike functions
- convex functions
- Fibonacci numbers

#### MSC 2010

- 30C45
- 30C50