Hermite–Hadamard type inequalities for multiplicative Riemann–Liouville fractional integrals
T Du, Y Peng - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper, we present a multiplicative fractional integral identity. Based upon it, we
establish the Hermite–Hadamard type inequalities for multiplicatively convex functions via …
establish the Hermite–Hadamard type inequalities for multiplicatively convex functions via …
On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex map**s
T Du, T Zhou - Chaos, Solitons & Fractals, 2022 - Elsevier
In the present study, over a rectangle from the plane R 2, we define and develop the
conceptions of the interval-valued fractional double integrals having exponential kernels …
conceptions of the interval-valued fractional double integrals having exponential kernels …
[HTML][HTML] Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities
The theory of convex map** has a lot of applications in the field of applied mathematics
and engineering. The fuzzy Riemann-Liouville fractional integrals are the most significant …
and engineering. The fuzzy Riemann-Liouville fractional integrals are the most significant …
On the Bullen-type inequalities via generalized fractional integrals and their applications
T Du, C Luo, Z Cao - Fractals, 2021 - World Scientific
By using generalized fractional integrals, some Bullen-type inequalities are derived where
the first derivative of considered functions is Lipschitzian, bounded or generalized (s, m) …
the first derivative of considered functions is Lipschitzian, bounded or generalized (s, m) …
[HTML][HTML] On fuzzy fractional integral operators having exponential kernels and related certain inequalities for exponential trigonometric convex fuzzy-number valued …
The most important operator in fractional theory that enables the classical theory of integrals
to be generalized is the Riemann-Liouville fractional integrals. In this paper, we have …
to be generalized is the Riemann-Liouville fractional integrals. In this paper, we have …
On the fractional integral inclusions having exponential kernels for interval-valued convex functions
T Zhou, Z Yuan, T Du - Mathematical Sciences, 2023 - Springer
The purpose of the present paper is to establish certain fractional integral inclusions having
exponential kernels, which are related to the Hermite–Hadamard, Hermite–Hadamard …
exponential kernels, which are related to the Hermite–Hadamard, Hermite–Hadamard …
Estimations of bounds on the multiplicative fractional integral inequalities having exponential kernels
Y Peng, H Fu, T Du - Communications in Mathematics and Statistics, 2024 - Springer
To investigate the fractional Hermite–Hadamard-type inequalities, a class of the
multiplicative fractional integrals having exponential kernels is introduced. Some estimations …
multiplicative fractional integrals having exponential kernels is introduced. Some estimations …
Certain error bounds on the parameterized integral inequalities in the sense of fractal sets
Y Yu, J Liu, T Du - Chaos, Solitons & Fractals, 2022 - Elsevier
The objective of this study is to research certain integral inequalities with a parameter
through the generalized (s, P)-preinvex map**s in the frame of fractal space. In view of …
through the generalized (s, P)-preinvex map**s in the frame of fractal space. In view of …
Hermite-Hadamard inequalities in fractional calculus for left and right harmonically convex functions via interval-valued settings
The purpose of this study is to define a new class of harmonically convex functions, which is
known as left and right harmonically convex interval-valued function (LR-𝓗-convex IV-F) …
known as left and right harmonically convex interval-valued function (LR-𝓗-convex IV-F) …
Some new Hermite–Hadamard type inequalities pertaining to generalized multiplicative fractional integrals
There is significant interaction between the class of symmetric functions and other types of
functions. The multiplicative convex function class, which is intimately related to the idea of …
functions. The multiplicative convex function class, which is intimately related to the idea of …