Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Simpson's inequalities"'
Autor:
Saowaluck Chasreechai, Muhammad Aamir Ali, Surapol Naowarat, Thanin Sitthiwirattham, Kamsing Nonlaopon
Publikováno v:
AIMS Mathematics, Vol 8, Iss 2, Pp 3885-3896 (2023)
In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative
Externí odkaz:
https://doaj.org/article/643c456fd55148ab8a1710b42577435a
Akademický článek
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Autor:
Xue-Xiao You, Muhammad Aamir Ali, Ghulam Murtaza, Saowaluck Chasreechai, Sotiris K. Ntouyas, Thanin Sitthiwirattham
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 3097-3132 (2022)
In this paper, we prove some new Simpson's type inequalities for partial (p,q)-differentiable convex functions of two variables in the context of (p,q)-calculus. We also show that the findings in this paper are generalizations of comparable findings
Externí odkaz:
https://doaj.org/article/0e7d0d34861c4800b80a46733dfea5f9
Autor:
Chanon Promsakon, Muhammad Aamir Ali, Hüseyin Budak, Mujahid Abbas, Faheem Muhammad, Thanin Sitthiwirattham
Publikováno v:
AIMS Mathematics, Vol 6, Iss 12, Pp 13954-13975 (2021)
In this paper, we prove two identities concerning quantum derivatives, quantum integrals, and some parameters. Using the newly proved identities, we prove new Simpson's and Newton's type inequalities for quantum differentiable convex functions with t
Externí odkaz:
https://doaj.org/article/edb4ad7baf0a4499bf2c033ffb8b7aa6
Publikováno v:
Symmetry, Vol 14, Iss 4, p 736 (2022)
In this paper, we give the generalized version of the quantum Simpson’s and quantum Newton’s formula type inequalities via quantum differentiable α,m-convex functions. The main advantage of these new inequalities is that they can be converted in
Externí odkaz:
https://doaj.org/article/f4ac94c9313749598c59df154b755446
Publikováno v:
Fractal and Fractional, Vol 6, Iss 2, p 94 (2022)
In this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoin
Externí odkaz:
https://doaj.org/article/7980a1faa26f4465ab6b1d5592d482c2
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:
Mathematics, Vol 9, Iss 24, p 3266 (2021)
In this paper, we first establish two right-quantum integral equalities involving a right-quantum derivative and a parameter m∈ 0,1. Then, we prove modified versions of Simpson’s and Newton’s type inequalities using established equalities for r
Externí odkaz:
https://doaj.org/article/2889e53684564e90bc34743f781a9c6a
Autor:
Miguel J. Vivas-Cortez, Muhammad Aamir Ali, Shahid Qaisar, Ifra Bashir Sial, Sinchai Jansem, Abdul Mateen
Publikováno v:
Symmetry, Vol 13, Iss 12, p 2419 (2021)
In this work, we prove a new (p,q)-integral identity involving a (p,q)-derivative and (p,q)-integral. The newly established identity is then used to show some new Simpson’s formula type inequalities for (p,q)-differentiable convex functions. Finall
Externí odkaz:
https://doaj.org/article/8370d71ecc9443fbbe277976c2aaf028
Autor:
Pimchana Siricharuanun, Samet Erden, Muhammad Aamir Ali, Hüseyin Budak, Saowaluck Chasreechai, Thanin Sitthiwirattham
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1992 (2021)
In this paper, using the notions of qκ2-quantum integral and qκ2-quantum derivative, we present some new identities that enable us to obtain new quantum Simpson’s and quantum Newton’s type inequalities for quantum differentiable convex function
Externí odkaz:
https://doaj.org/article/186fa5ff353046b0a35a5b4fcd644a4c