Results 11 to 20 of about 28,233,756 (286)
Representation of ( p , q ) $(p,q)$ -Bernstein polynomials in terms of ( p , q ) $(p,q)$ -Jacobi polynomials [PDF]
Journal of Inequalities and Applications, 2017 A representation of ( p , q ) $(p,q)$ -Bernstein polynomials in terms of ( p , q ) $(p,q)$ -Jacobi polynomials is obtained.
F Soleyman +3 more
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On ( p , q ) $(p,q)$ -classical orthogonal polynomials and their characterization theorems [PDF]
Advances in Difference Equations, 2017 In this paper, we introduce a general ( p , q ) $(p, q)$ -Sturm-Liouville difference equation whose solutions are ( p , q ) $(p, q)$ -analogues of classical orthogonal polynomials leading to Jacobi, Laguerre, and Hermite polynomials as ( p , q ) → ( 1 ...
M Masjed-Jamei +3 more
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Some inequalities for (p,q) $(p,q)$-mixed volume
Journal of Inequalities and Applications, 2018 Lutwak, Yang, and Zhang introduced the concept of (p,q) $(p,q)$-mixed volume whose special cases contain the Lp $L_{p}$-mixed volume and the Lp $L_{p}$-dual mixed volume.
Bin Chen, Weidong Wang
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Advances in Difference Equations, 2019 In this paper, by using the least action principle, an existence result of nontrivial weak solutions for a class of fractional impulsive coupled systems with (p,q) $(p,q)$-Laplacian is obtained if the nonlinear term has sub- (p,q) $(p,q)$ linear growth ...
Cuiling Liu, Xingyong Zhang, Junping Xie
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On the convergence of Lupaş (p,q) $(p,q)$-Bernstein operators via contraction principle
Journal of Inequalities and Applications, 2019 The present paper deals with the limit behavior of iterates of Lupaş q- and (p,q) $(p,q)$-Bernstein operators. We obtain the convergence for Lupaş q- and (p,q) $(p,q)$-Bernstein operators by using the contraction principle.
Haifa Bin Jebreen +2 more
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On Kantorovich modification of ( p , q ) $( p,q ) $ -Baskakov operators [PDF]
Journal of Inequalities and Applications, 2016 The concern of this paper is to introduce a Kantorovich modification of ( p , q ) $( p,q ) $ -Baskakov operators and investigate their approximation behaviors. We first define a new ( p , q ) $( p,q ) $ -integral and construct the operators.
Tuncer Acar +2 more
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On (p,q)-Opial type inequalities for (p,q)-calculus [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2021 In this paper, we establish some (p,q)-Opial type inequalities and generalization of (p,q)-Opial type inequalities.
Alp, Necmettin, Sarıkaya, Mehmet Zeki
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On fractional $(p,q)$-calculus [PDF]
Advances in Difference Equations, 2020 AbstractIn 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 Fejér Type Inequalities via (p,q)-Calculus [PDF]
Symmetry, 2021 In this paper, we use (p,q)-integral to establish some Fejér type inequalities. In particular, we generalize and correct existing results of quantum Fejér type inequalities by using new techniques and showing some problematic parts of those results. Most of the inequalities presented in this paper are significant extensions of results which appear in ...
Nuttapong Arunrat +4 more
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On the refinements of some important inequalities via $(p,q)$-calculus and their applications [PDF]
Journal of Inequalities and Applications, 2021 AbstractWe establish some interesting refinements of the$(p,q)$(p,q)-Hölder integral inequality and the$(p,q)$(p,q)-power-mean integral inequality. As applications, we show that some existing$(p,q)$(p,q)-integral inequalities can be improved by the results obtained in this paper.
Bo Yu, Chun-Yan Luo, Ting-Song Du
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