Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Waewta Luangboon"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-26 (2022)
Abstract In this paper, we establish some new ( p , q ) $(p,q)$ -integral inequalities of Simpson’s second type for preinvex functions. Many results given in this paper provide generalizations and extensions of the results given in previous researc
Externí odkaz:
https://doaj.org/article/f58a754e43864cd69e271163eb1b9bb8
Publikováno v:
Miskolc Mathematical Notes, Vol 25, Iss 1, p 383 (2024)
In this paper, we firstly establish an identity by using the notions of quantum derivatives and integrals. Using this quantum identity, quantum Newton-type inequalities associated with convex functions are proved. We also show that the newly establis
Externí odkaz:
https://doaj.org/article/92d2d1a7543a424b85e767397a012e63
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 9236-9261 (2021)
In this paper, we establish a new (p,q)-integral identity. Then, the obtained result is employed to derive (p,q)-integral Simpson type inequalities involving generalized strongly preinvex functions. Moreover, our results are also used to study some s
Externí odkaz:
https://doaj.org/article/88f89b4edcac42448c7b35e6ebb03018
Publikováno v:
Journal of Function Spaces, Vol 2022 (2022)
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator. A fractional integral operator comprising a
Externí odkaz:
https://doaj.org/article/93a464f718634a1497ed792eddec1f27
Publikováno v:
Mathematics, Vol 10, Iss 5, p 826 (2022)
In this paper, we establish a new (p,q)b-integral identity involving the first-order (p,q)b-derivative. Then, we use this result to prove some new (p,q)b-integral inequalities related to Hermite–Hadamard inequalities for (p,q)b-differentiable conve
Externí odkaz:
https://doaj.org/article/995b720437894bd89c00220ad6eb060c
Publikováno v:
Fractal and Fractional, Vol 6, Iss 3, p 129 (2022)
In this paper, we prove a new quantum integral equality involving a parameter, left and right quantum derivatives. Then, we use the newly established equality and prove some new estimates of quantum Ostrowski, quantum midpoint, quantum trapezoidal an
Externí odkaz:
https://doaj.org/article/b61e095364144d09adda4ae86a74116b
Publikováno v:
Entropy, Vol 23, Iss 8, p 1086 (2021)
This research article is dedicated to solving fractional-order parabolic equations using an innovative analytical technique. The Adomian decomposition method is well supported by natural transform to establish closed form solutions for targeted probl
Externí odkaz:
https://doaj.org/article/c4946b12b79c4382bbf1bc8a9f2d1ddb
Publikováno v:
Mathematics, Vol 9, Iss 12, p 1338 (2021)
In this paper, we establish several new (p,q)-integral identities involving (p,q)-integrals by using the definition of a (p,q)-derivative. These results are then used to derive (p,q)-integral Simpson- and Newton-type inequalities involving convex fun
Externí odkaz:
https://doaj.org/article/7b96a1ed415e4c1aa3662fcf86b43403
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 9236-9261 (2021)
In this paper, we establish a new $ (p, q) $-integral identity. Then, the obtained result is employed to derive $ (p, q) $-integral Simpson type inequalities involving generalized strongly preinvex functions. Moreover, our results are also used to st
Publikováno v:
Mathematics; Volume 10; Issue 5; Pages: 826
In this paper, we establish a new (p,q)b-integral identity involving the first-order (p,q)b-derivative. Then, we use this result to prove some new (p,q)b-integral inequalities related to Hermite–Hadamard inequalities for (p,q)b-differentiable conve