Results 31 to 40 of about 11,158 (238)
Generalized $ q $-convex functions characterized by $ q $-calculus
AIMS Mathematics, 2023 <abstract><p>The objective of the current examination is to present new sub-classes of $ q $-convex and $ q $-starlike functions inside $ \mathcal E = \left\{z\in\mathbb C: \left|z\right| < 1\right\} $, by $ q $-difference operator.
Aisha M. Alqahtani +4 more
openaire +2 more sources
Arab Journal of Basic and Applied Sciences, 2023 The fractional q-calculus has attracted the interest of a large number of academics over the last four decades or so, due mainly to a wide range of applications that cover natural sciences to social sciences.
Biniyam Shimelis, D. L. Suthar
doaj +1 more source
On Quantum Differential Subordination Related with Certain Family of Analytic Functions
Journal of Mathematics, 2020 Recently, there is a rapid increase of research in the area of Quantum calculus (known as q-calculus) due to its widespread applications in many areas of study, such as geometric functions theory.
Afis Saliu +3 more
doaj +1 more source
Deformed Heisenberg algebra: origin of q-calculus [PDF]
Physica A: Statistical Mechanics and its Applications, 2003 11 ...
openaire +3 more sources
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Fisher information, Borges operators, and q-calculus
Physica A: Statistical Mechanics and its Applications, 2008 Abstract We discuss applying the increasingly popular q -calculus, or deformed calculus, so as to suitably generalize Fisher’s information measure and the Cramer–Rao inequality. A q -deformation can be attained in multiple ways, and we show that most of them do not constitute legitimate procedures. Within such a context, the only completely
Pennini, F., Plastino, A., Ferri, G. L.
openaire +3 more sources
The Omega Rule is $\mathbf{\Pi_{1}^{1}}$-Complete in the $\lambda\beta$-Calculus [PDF]
Logical Methods in Computer Science, 2009 In a functional calculus, the so called \Omega-rule states that if two terms P and Q applied to any closed term N return the same value (i.e. PN = QN), then they are equal (i.e. P = Q holds).
Benedetto Intrigila, Richard Statman
doaj +1 more source
On q-double modified Laplace transform [PDF]
Mathematics and Computational SciencesThe Laplace transform is widely used in science and technology to deal with complex problemsin stability and control systems. The modified Laplace transform has been applied in physics andmathematics to solve boundary layer equations in ordinary ...
Srikumar Panda +2 more
doaj +1 more source
New quantum estimates in the setting of fractional calculus theory
Advances in Difference Equations, 2020 In this article, the investigation is centered around the quantum estimates by utilizing quantum Hahn integral operator via the quantum shift operator ψ q η ( ζ ) = q ζ + ( 1 − q ) η ${}_{\eta}\psi_{\mathfrak{q}}(\zeta)=\mathfrak{q}\zeta+(1-\mathfrak{q})\
Saima Rashid +4 more
doaj +1 more source
Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
Journal of Function Spaces, 2022 The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan +4 more
doaj +1 more source