Results 281 to 290 of about 1,820,429 (292)

Calculus on the multivector manifold spin+(p,q)

Journal of Mathematical Physics, 1998
Coordinate-free differential and integral calculus is formulated on the spin groups, regarded as multivector manifolds embedded in Geometric Algebra. The derivative with respect to a point on the manifold is shown to be in the tangent algebra at the inverse point.
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Certain inequalities for fractional $(p,q)$-calculus

Advanced Studies: Euro-Tbilisi Mathematical Journal, 2022
Jain, Pankaj, Manglik, Rohit
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On (p, q)-Quantum Calculus Involving Quasi-Subordination

2018
Let (p, q) ∈ (0, 1). Let the function f be analytic in |z| < 1. Further, let the (p, q) be differential operator defined as \( {\displaystyle } {{\partial _{p,q}}}f \left ( z \right ) = \frac {{f\left ( pz \right ) - f\left ( {qz} \right )}}{{z\left ( {p - q} \right )}}, \quad |z|
S. Kavitha, Nak Eun Cho, G. Murugusundaramoorthy   +2 more
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R(p; q)-calculus: differentiation and integration

SUT Journal of Mathematics, 2013
Hounkonnou, Mahouton Norbert, Kyemba, Jospeh Désiré Bukweli   +1 more
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Quantum convexity and integral inequalities in the framework of \((p,q)-h\) Calculus

The Pečarić Journal of Mathematical Inequalities
This paper examine new versions of the Hermite-Hadamard (H-H) inequality in the context of \((p,q)-h\) integrals on finite intervals. Using the properties of convex and differentiable functions, we derive generalized inequalities that consolidate and generalize a number of existing results in quantum calculus.
Ghulam Farid, S. Abdel-Khalek, Mohamed Haiour, Sajid Mehmood   +3 more
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On the Generalized (p,q)-ϕ-Calculus with Respect to Another Function

In the present paper, we generalized some of the operators defined in (p,q)-calculus with respect to another function. More precisely, the generalized (p,q)-ϕ-derivatives and (p,q)-ϕ-integrals were introduced with respect to the strictly increasing function ϕ with the help of different orders of the q-shifting, p-shifting, and (q/p ...
Sina Etemad, Ivanka Stamova, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
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On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

2020
In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are ...
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FRACTIONAL CALCULUS OF THE (p, q)-EXTENDED STRUVE FUNCTION

Far East Journal of Mathematical Sciences (FJMS), 2018
Rakesh K. Parmar, Junesang Choi
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On the construction of iterative methods in (p,q)-calculus

Numerical Algorithms
Serap Herdem, Sait Erkovan
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