Results 1 to 10 of about 11,158 (238)
Opial inequality in q-calculus [PDF]
Journal of Inequalities and Applications, 2018 In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new integral inequality of the q-Opial type.
Tatjana Z. Mirković +2 more
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On fractional (p,q) $(p,q)$-calculus [PDF]
Advances in Difference Equations, 2020 In this paper, the new concepts of (p,q) $(p,q)$-difference operators are introduced. The properties of fractional (p,q) $(p,q)$-calculus in the sense of a (p,q) $(p,q)$-difference operator are introduced and developed.
Jarunee Soontharanon +1 more
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On modified Dunkl generalization of Szász operators via q-calculus. [PDF]
J Inequal Appl, 2017 الغرض من هذه الورقة هو إدخال تعديل على تعميم q - Dunkl للدوال الأسية. تتيح هذه الأنواع من العوامل تقديرًا أفضل للأخطاء على الفاصل الزمني $[\frac{1 }{ 2},\infty )$ من الأنواع الكلاسيكية. نحصل على بعض النتائج التقريبية من خلال نظرية معروفة من نوع كوروفكين ونظرية مرجحة من نوع كوروفكين. علاوة على ذلك، نحصل على معدل تقارب المشغلين للوظائف التي تنتمي إلى فئة
Mursaleen M, Nasiruzzaman M, Alotaibi A.
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Some Carleman-type inequalities in ( p , q ) $(p,q)$ -calculus
Journal of Inequalities and ApplicationsIn this paper, we construct ( p , q ) $\left (p,q\right )$ -type Jessen’s inequality using the properties of convex functions. On this basis, we generalize the classical Carleman integral-type inequality in ( p , q ) $\left (p,q\right )$ -calculus and ...
Jiao Yu, Lin Han
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Some Opial-type integral inequalities via (p,q) $(p,q)$-calculus [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we introduce a new Opial-type inequality by using (p,q) $(p,q)$-calculus and establish some integral inequalities. We find a (p,q) $(p,q)$-generalization of a Steffensens-type integral inequality and some other inequalities.
Md. Nasiruzzaman +2 more
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On the solutions of some fractional q-differential equations with the Riemann-Liouville fractional q-derivative [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 This paper is devoted to explicit and numerical solutions to linear fractional q -difference equations and the Cauchy type problem associated with the Riemann-Liouville fractional q -derivative in q -calculus.
S. Shaimardan, N.S. Tokmagambetov
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The Schr¨odinger equations generated by q-Bessel operator in quantum calculus [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, we obtain exact solutions of a new modification of the Schrödinger equation related to the Bessel q -operator. The theorem is proved on the existence of this solution in the Sobolev-type space Wq2(R+q ) in the q -calculus.
S. Shaimardan, N.S. Tokmagambetov
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On convolution and q-calculus [PDF]
Boletín de la Sociedad Matemática Mexicana, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Piejko, Krzysztof, Sokół, Janusz
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On Iterative Methods for Solving Nonlinear Equations in Quantum Calculus
Fractal and Fractional, 2021 Quantum calculus (also known as the q-calculus) is a technique that is similar to traditional calculus, but focuses on the concept of deriving q-analogous results without the use of the limits.
Gul Sana +4 more
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Some trapezoid and midpoint type inequalities via fractional ( p , q ) $(p,q)$ -calculus
Advances in Difference Equations, 2021 Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractional q-calculus has been investigated and applied in a variety of research subjects including the fractional q ...
Pheak Neang +4 more
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