•Journal• ISSN: 1221-5023
General Mathematics
De Gruyter
About: General Mathematics is an academic journal published by De Gruyter. It has an ISSN identifier of 1221-5023. It is also open access..
Papers
TL;DR: A family of univalent functions defined by a generalized opoola differential operator is introduced and its properties are studied.
Abstract:
In this investigation, we introduce a new q-differential operator that generalizes the well-known Opoola differential operator. Using the operator, we define a family of q-bounded turning functions. The new class is denoted by ℛ
q
n
(µ, β, τ ; λ). Afterwards, inclusion, characterisation, growth, distortion, covering, linear combination and neighborhood properties of functions f ∈ ℛ
q
n
(µ, β, τ ; λ) are presented.
6 citations
TL;DR: Unique common fixed point theorems for four self-maps on a metric-like space are proved using occasionally weakly biased maps of type (𝒜).
Abstract:
In this article, two unique common fixed point theorems for four self-maps on a metric-like space by using the concept of occasionally weakly biased maps of type (𝒜) are proved. Our results represent an improvement and extension of some fixed point findings. We justify our results by giving two appropriate examples.
1 citations
TL;DR: The Rathore type operators are introduced and their Voronovskaja type results are obtained. The extension of the classical Szász-Mirakjan operator is presented and compared with the Rathore type operators.
Abstract:
V. Gupta introduced recently the Rathore type operators Rn,c
. For them we obtain Voronovskaja type results. We extend the classical Szász-Mirakjan operator and compare the extension with Rn,c
.
1 citations
Abstract:
The composition ℱ
n
of Rathore and Gamma operators was considered in the literature. We introduce a generalization of ℱ
n
. For it we determine the eigenstructure and establish the corresponding Voronovskaja type formula.
1 citations
TL;DR: New identity and general inequalities for h-convex functions based on Hermite-Hadamard, Bullen and Simpson inequalities.
Abstract:
In this paper, the authors established a new identity for differentiable functions, afterward, they obtained some new general inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. On the other hand, a general inequality is studied, which gives Hermite-Hadamard, Bullen and Simpson inequalities. Also, they gave some applications for special means for arbitrary positive numbers.
Performance Metrics
| Year | Papers |
|---|---|
| 2024 | 7 |
| 2023 | 13 |
| 2022 | 16 |