Results 1 to 10 of about 1,455,057 (248)
On (p,q)-Opial type inequalities for (p,q)-calculus [PDF]
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 Fejér Type Inequalities via (p,q)-Calculus [PDF]
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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Some trapezoid and midpoint type inequalities via fractional $(p,q)$-calculus [PDF]
AbstractFractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractionalq-calculus has been investigated and applied in a variety of research subjects including the fractionalq-trapezoid andq-midpoint type inequalities.
Pheak Neang +4 more
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On fractional $(p,q)$-calculus [PDF]
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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The single crystal growth of Mg3Bi2‐based thermoelectric materials is of great significance for their applications near room temperature. So far, it is still a big challenge to grow such bulk single crystals and attempts are primarily focused on the ...
Qi‐Qi Wang +6 more
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Dunkl-type generalization of the second kind beta operators via $(p,q)$-calculus [PDF]
AbstractThe main purpose of this research article is to construct a Dunkl extension of$(p,q)$(p,q)-variant of Szász–Beta operators of the second kind by applying a new parameter. We obtain Korovkin-type approximation theorems, local approximations, and weighted approximations. Further, we study the rate of convergence by using the modulus of continuity,
Md. Nasiruzzaman +2 more
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A note on ( p , q ) $(p,q)$ -Bernstein polynomials and their applications based on ( p , q ) $(p,q)$ -calculus [PDF]
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Agyuz, Erkan, Acikgoz, Mehmet
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Some Opial-type integral inequalities via $(p,q)$-calculus [PDF]
AbstractIn 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 wavelets Kantorovich ( p , q ) $(p,q)$ -Baskakov operators and approximation properties
In this paper, we generalize and extend the Baskakov-Kantorovich operators by constructing the ( p , q ) $(p, q)$ -Baskakov Kantorovich operators ( ϒ n , b , p , q h ) ( x ) = [ n ] p , q ∑ b = 0 ∞ q b − 1 υ b , n p , q ( x ) ∫ R h ( y ) Ψ ( [ n ] p , q ...
Alexander E. Moreka +2 more
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In this paper we generalize the Fuglede-Putnam theorem to non-normal operators to posinormal operator and co-posinormal operators. Also we prove this theorem to supra class posinormal operators (called supraposinormal operator) and co-supra class ...
Mahmood Kamil Shihab
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