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Generalized midpoint type inequalities within the $$(\textrm{p,q})$$-calculus framework

Afrika Matematika, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eze R. Nwaeze, Artion Kashuri
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New integral inequalities involving m—convex functions in (p,q)—calculus

Tbilisi Mathematical Journal, 2021
Some new Hermite-Hadamard integral inequalities for \(m\)-convex functions via \((p,q)\)-calculus are obtained. First let us define the \((p,q)_a\)-integral and the \((p,q)^b\)-integral for the function \(f\). Definition.
Kashuri, Artion   +2 more
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Cesàro sequence spaces via (p, q)-calculus and compact matrix operators

The Journal of Analysis, 2022
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Taja Yaying   +2 more
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On the Solutions of Some Equations in (p, q)-Calculus

2023
In this paper, we introduce the Laplace equation in (p, q)-calculus and give the solutions of the equation using the separation method into its variables. We also give the (p, q)-calculus version of the equation of motion, which expresses the displacement of a falling field in a resistant environment.
Turan, Nihan, Basarır, Metin
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On Some Polynomials Derived from (p,q)-Calculus

Journal of Computational and Theoretical Nanoscience, 2016
We consider the new generating functions of the Bernoulli, the Euler and the Genocchi polynomials under post quantum calculus. From those generating functions, we analyse the behaviours of the polynomials mentioned in the paper. By making use of the fermionic p-adic integral over the p-adic number fields, we derive a relation between the new and old ...
Aracı, Serkan   +3 more
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GENERALIZATION OF THE $n^{th}$-ORDER OPIAL'S INEQUALITY IN $(p,q)$-CALCULUS

Advances in Mathematics: Scientific Journal, 2022
We establish the generalized $n^{th}$-Order Opial's integral inequality via (p,q)-calculus with some extensions. The other analytical tools used to establish the results were $(p,q)$-Cauchy repeated integration formula and $(p,q)$-Cauchy-Schwarz's integral inequality.
M.M. Iddrisu   +2 more
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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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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   +2 more
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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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R(p; q)-calculus: differentiation and integration

SUT Journal of Mathematics, 2013
Hounkonnou, Mahouton Norbert   +1 more
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