Results 1 to 10 of about 1,614,501 (298)

Image Denoising Based on Quantum Calculus of Local Fractional Entropy

open access: yesSymmetry, 2023
Images are frequently disrupted by noise of all kinds, making image restoration very challenging. There have been many different image denoising models proposed over the last few decades.
Rabha W Ibrahim, Ibrahim Rabha W
exaly   +2 more sources

Quantum Calculus

open access: yesThe Journal of King Mongkut's University of Technology North Bangkok, 2020
ความเจริญก้าวหน้าทางวิทยาศาสตร์และเทคโนโลย ี ในปัจจบุนั ล้วนแล้วแต่มคีณติศาสตร์อยู เ่บื อ้งหลงัทั ง้สิ น้ เหน็ได้ ชดัว่า หลังจากการค้นพบแคลคูลัสของเซอร์ ไอแซก นิวตัน (ค.ศ. 1643–1729) และกอทท์ฟรีด วิลเฮล์ม ไลบ์นิทซ์ (ค.ศ.
J. Tariboon
semanticscholar   +3 more sources

A Dunkl type generalization of Szász operators via post-quantum calculus. [PDF]

open access: yesJ Inequal Appl, 2018
The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity.
Alotaibi A, Nasiruzzaman M, Mursaleen M.
europepmc   +2 more sources

On Ostrowski inequality for quantum calculus [PDF]

open access: yesApplied Mathematics and Computation, 2020
We derive a version of Lagrange's mean value theorem for quantum calculus. We disprove a version of Ostrowski inequality for quantum calculus appearing in the literature. We derive a correct statement and prove that our new inequality is sharp.
A. A. Aljinović   +3 more
semanticscholar   +2 more sources

The Hahn Quantum Variational Calculus [PDF]

open access: yesJournal of Optimization Theory and Applications, 2010
We introduce the Hahn quantum variational calculus. Necessary and sufficient optimality conditions for the basic, isoperimetric, and Hahn quantum Lagrange problems, are studied. We also show the validity of Leitmann's direct method for the Hahn quantum variational calculus, and give explicit solutions to some concrete problems.
Delfim F M Torres   +2 more
exaly   +6 more sources

Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus

open access: yesOpen Mathematics, 2021
In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣ D q 2 b f ∣ | {}^{b}D_{q}^{2}\hspace{0.08em}f| and ∣ D q 2 a f ∣ | {}_{a}D_{q}^{2}\hspace{0.08em}f| , we establish some quantum ...
Muhammad Aamir Ali   +2 more
exaly   +2 more sources

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus

open access: yesFoundations, 2023
A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex functions,
Muhammad Tariq   +2 more
exaly   +2 more sources

Multivalent Functions and Differential Operator Extended by the Quantum Calculus

open access: yesFractal and Fractional, 2022
We used the concept of quantum calculus (Jackson’s calculus) in a recent note to develop an extended class of multivalent functions on the open unit disk. Convexity and star-likeness properties are obtained by establishing conditions for this class.
Rabha W Ibrahim   +2 more
exaly   +2 more sources

A Lambda Calculus for Quantum Computation [PDF]

open access: yesSIAM Journal on Computing, 2004
To appear in SIAM Journal on Computing. Minor corrections and improvements.
exaly   +3 more sources

The Falling Body Problem in Quantum Calculus

open access: yesFrontiers in Physics, 2020
The quantum calculus, q-calculus, is a relatively new branch in which the derivative of a real function can be calculated without limits. In this paper, the falling body problem in a resisting medium is revisited in view of the q-calculus to the first ...
Abdulaziz M. Alanazi   +3 more
doaj   +2 more sources

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