A Dunkl type generalization of Szász operators via post-quantum calculus
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DOI: 10.1186/s13660-018-1878-5
Abstract: The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity.… read more here.
Keywords: post quantum; quantum calculus; operators via; dunkl type ... See more keywords
Connecting quantum calculus and harmonic starlike functions
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DOI: 10.2298/fil2005431a
Abstract: Quantum calculus or q−calculus plays an important role in hypergeometric series, quantum physics, operator theory, approximation theory, sobolev spaces, geometric functions theory and others. But role of q−calculus in the theory of harmonic univalent functions… read more here.
Keywords: calculus; calculus harmonic; quantum calculus; starlike functions ... See more keywords
A Quantum Calculus View of Hermite-Hadamard-Jensen-Mercer Inequalities with Applications
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DOI: 10.3390/sym14061246
Abstract: In this paper, we derive some new quantum estimates of generalized Hermite–Hadamard–Jensen–Mercer type of inequalities, essentially using q-differentiable convex functions. With the help of numerical examples, we check the validity of the results. We also… read more here.
Keywords: quantum calculus; hadamard jensen; hermite hadamard; jensen mercer ... See more keywords
Some New Anderson Type h and q Integral Inequalities in Quantum Calculus
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DOI: 10.3390/sym14071294
Abstract: The calculus in the absence of limits is known as quantum calculus. With a difference operator, it substitutes the classical derivative, which permits dealing with sets of functions that are non-differentiations. The theory of integral… read more here.
Keywords: integral inequalities; anderson type; quantum calculus; type integral ... See more keywords
The Directional Derivative in General Quantum Calculus
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DOI: 10.3390/sym14091766
Abstract: In this paper, we define the β-partial derivative as well as the β-directional derivative of a multi-variable function based on the β-difference operator, Dβ, which is defined by Dβf(t)=f(β(t))−f(t)/β(t)−t, where β is a strictly increasing… read more here.
Keywords: general quantum; function; quantum calculus; derivative general ... See more keywords
Applications of Symmetric Quantum Calculus to the Class of Harmonic Functions
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DOI: 10.3390/sym14102188
Abstract: In the past few years, many scholars gave much attention to the use of q-calculus in geometric functions theory, and they defined new subclasses of analytic and harmonic functions. While using the symmetric q-calculus in… read more here.
Keywords: applications symmetric; symmetric quantum; class harmonic; quantum calculus ... See more keywords
Image Denoising Based on Quantum Calculus of Local Fractional Entropy
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DOI: 10.3390/sym15020396
Abstract: Images are frequently disrupted by noise of all kinds, making image restoration very challenging. There have been many different image denoising models proposed over the last few decades. Some models preserve the image’s smooth region,… read more here.
Keywords: local fractional; image denoising; quantum calculus; image ... See more keywords