Results 271 to 280 of about 1,820,429 (292)
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Classical inequalities for (p, q)-calculus on finite intervals
Boletín de la Sociedad Matemática Mexicana, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jain, Pankaj, Manglik, Rohit
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Finite Mellin transform for $$(p,q)$$ and symmetric calculus
Journal of Pseudo-Differential Operators and Applications, 2020The authors filled several pages of the article by already existing results in the listed references. The results presented in Sections 4 (used \(\sigma=\frac{\pi}{log(q/p)}\)) and 7 (used \(\sigma=\frac{2\pi}{log(qp)}\)) are developed on the basis of slight differences in the values of \(\sigma\) and \(w\).
Jain, Pankaj +2 more
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2023
Summary: Looking at the history of fractional derivatives, it can be clearly seen that various generalizations have been presented for it regularly by researchers. Perhaps, in the meantime, the derivative of the \(q\)-fraction has received more attention due to the provision of discrete space and the entry of the computer into the computing scene.
Canbulat, A., Sakar, F. M.
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Summary: Looking at the history of fractional derivatives, it can be clearly seen that various generalizations have been presented for it regularly by researchers. Perhaps, in the meantime, the derivative of the \(q\)-fraction has received more attention due to the provision of discrete space and the entry of the computer into the computing scene.
Canbulat, A., Sakar, F. M.
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Generalized midpoint type inequalities within the $$(\textrm{p,q})$$-calculus framework
Afrika Matematika, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eze R. Nwaeze, Artion Kashuri
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2023
Summary: We investigate the existence and uniqueness of the solution and also the rate of convergence of a numerical method for a fractional differential equation in both \(q\)-calculus and \((p, q)\)-calculus versions. We use the Banach and Schauder fixed point theorems in this study.
Rezapour, Shahram +2 more
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Summary: We investigate the existence and uniqueness of the solution and also the rate of convergence of a numerical method for a fractional differential equation in both \(q\)-calculus and \((p, q)\)-calculus versions. We use the Banach and Schauder fixed point theorems in this study.
Rezapour, Shahram +2 more
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New integral inequalities involving m—convex functions in (p,q)—calculus
Tbilisi Mathematical Journal, 2021Some 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, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taja Yaying +2 more
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On the Solutions of Some Equations in (p, q)-Calculus
2023In 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, 2016We 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 +2 more
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GENERALIZATION OF THE $n^{th}$-ORDER OPIAL'S INEQUALITY IN $(p,q)$-CALCULUS
Advances in Mathematics: Scientific Journal, 2022We 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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