Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for differentiable functions
Yamin
Sayyari
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
author
Hasan
Barsam
Department of Mathematics, University of Jiroft, Jiroft, Iran
author
text
article
2020
eng
In this paper, we give some inequalities for dierentiable convex functions which are connected with the Hermite-Hadamard's integral inequality holding for convex functions. Also, we obtain some estimates to the right-hand side of Hermite-Hadamard inequality for functions whose absolute values of fourth derivatives raised to positive real powers are m-convex. Finally, some natural applications to special means of real numbers are given.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
9
v.
2
no.
2020
55
67
https://jmmrc.uk.ac.ir/article_2637_567cc46a7755ee31d232fa3433db496e.pdf
dx.doi.org/10.22103/jmmrc.2020.14449.1099
Fractional q-differintegral operator related to univalent functions with negative coefficients
Shahram
Najafzadeh
Department of Mathematics, Payame Noor University, Tehran, Iran
author
text
article
2020
eng
In this paper, we introduce a new subfamily of univalent functions defined in the open unit disk involving a fractional q-differintegral operator. Some results on coefficient estimates, weighted mean, convolution structure and convexity are discussed
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
9
v.
2
no.
2020
69
77
https://jmmrc.uk.ac.ir/article_2638_cae6f92441ba0fc4d983556a3be6ba4c.pdf
dx.doi.org/10.22103/jmmrc.2020.13685.1084
Some results on Hermite-Hadamard inequalities
Hasan
Barsam
Department of mathematics university of jiroft
author
Ali
Sattarzadeh
Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
author
text
article
2020
eng
In this paper, we establish Hermite-Hadamard inequalities for uniformly p-convex functions and uniformly q-convex functions. Also, we obtain some new inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are the class of uniformly p-convex.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
9
v.
2
no.
2020
79
86
https://jmmrc.uk.ac.ir/article_2639_a9cec843da325abf184f332899dddde0.pdf
dx.doi.org/10.22103/jmmrc.2020.13525.1080
An efficient numerical approach for solving the variable-order time fractional diffusion equation using chebyshev spectral collocation method
Majid
Darehmiraki
DEPARTMENT OF MATHEMATICS, BEHBAHAN KHATAM ALANBIA
UNIVERSITY OF TECHNOLOGY, BEHBAHAN, KHOUZESTAN, IRAN
author
Arezou
Rezazadeh
DEPARTMENT OF MATHEMATICS, UNIVERSITY OF QOM, QOM
37161466711, IRAN
author
text
article
2020
eng
In this paper we consider the one-dimensional variable-order time fractional diffusion equation where the order is $ q(x,t)\in (0,1) $. One type of Caputo fractional derivative is introduced and to get a numerical technique, the time variable is discretized using a finite difference plan then we use a spectral collocation method to discretize the spatial derivative. In order to show the effectiveness and accuracy of this method, some test problems are considered, and it is shown that the obtained results are in very good agreement with exact solutions.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
9
v.
2
no.
2020
87
107
https://jmmrc.uk.ac.ir/article_2640_0a4d830851faf8f3c3c47b944221e32b.pdf
dx.doi.org/10.22103/jmmrc.2020.13904.1090