[PDF] Top 20 Some Opial type integral inequalities via \((p,q)\) calculus
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Some Opial type integral inequalities via \((p,q)\) calculus
... 1960, Opial [10] established some important integral ...obtain Opial-type classical and some recent integral inequalities in the quan- tum calculus of two ... See full document
11
New aspects of Opial type integral inequalities
... several Opial-type integral inequalities for the left and right Caputo–Fabrizio operators with nonsingular ...the inequalities obtained by Andri´c et al. (Integral Transforms ... See full document
11
On improvements of the Rozanova's inequality
... Opial ’ s inequality and its generalizations, extensions and discretizations play a funda- mental role in establishing the existence and uniqueness of initial and boundary value problems for ordinary and partial ... See full document
7
Dynamic Opial diamond α integral inequalities involving the power of a function
... 3 Conclusion In this paper, we have obtained several Opial-type integral inequalities on time scales via the notion of the diamond-alpha derivative.. Acknowledgements The author would li[r] ... See full document
10
Some new Hardy type inequalities for Riemann Liouville fractional q integral operator
... any p > , the conjugate number p is defined by p := p/(p – ), and the considered functions are assumed to be ...as p, q, ... See full document
17
Certain generalized fractional calculus formulas and integral transforms involving \((p,q)\) Mathieu type series
... fractional calculus operators, Riemann– Liouville and Erdélyi–Kober fractional calculus operators as special cases for various choices of the parameters (see for details [2, 8, 10] and ...certain ... See full document
11
Opial inequality in q calculus
... Integral inequalities of the form (1) have an interest in itself, and also have important applications in the theory of ordinary differential equations and boundary value problems (see [1, 2, ...the ... See full document
8
On some Opial type inequalities
... of Opial ’ s inequality have appeared in the literature ...these inequalities, see [2,6]. For Opial-type integral inequalities involving high-order partial derivatives see ... See full document
8
Opial Type Integral Inequalities for Widder Derivatives and Linear Differential Operators
... years, Opial inequality ...monograp[1]). Opial inequality and its generalizations, extensions and discretizations play a fundamental role in establishing the existence and uniqueness of initial and boundary ... See full document
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On Some Inequalities of Uncertainty Principles Type in Quantum Calculus
... The uncertainty principle is a metatheorem in harmonic analysis that asserts, with the use of some inequalities, that a function and its Fourier transform cannot be sharply localized. We refer to the survey ... See full document
13
On some generalizations of dynamic Opial type inequalities on time scales
... proved some new generalizations of dynamic Opial-type inequalities on time ...dynamic inequalities, we obtained some integral and dis- crete inequalities known in ... See full document
14
Some Landau Type Inequalities for Functions whose Derivates are Hölder Continuous
... Lemma 1.. LANDAU, Einige Ungleichungen f¨ ur zweimal differentzierban funktionen, Proc. HARDY and J.E. LITTLEWOOD, Some integral inequalities connected with the calculus of variations, Q[r] ... See full document
6
Some Integral Inequalities Using Quantum Calculus Approach
... obtain some new quantum bounds which involve primarily the property of generalized ...preinvexity. Some special cases are also discussed which can be deduced from the main results of the ...find some ... See full document
13
q Non uniform difference calculus and classical integral inequalities
... establish q-non uniform versions of some integral inequali- ties of classical mathematical analysis such as the integral inequalities of Hölder, Cauchy– Schwarz, and ...establish ... See full document
22
Integral inequalities via fractional quantum calculus
... of integral inequalities and fractional calculus and can be specialized to yield numerous interesting fractional integral inequalities including some known ...to some ... See full document
15
Quantum integral inequalities on finite intervals
... paper, some of the most important integral inequalities of analysis are extended to quantum ...ˇCebyšev integral inequalities. The analysis relies on the notions of q-derivative ... See full document
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14. On some Qi type inequalities using fractional q-integral
... this type of inequalities, many attentions have been payed to the problem and many authors have extended the inequality to more general cases (see [1, 2, 3, 4, 9, 8, 11, ...establish some ... See full document
7
Some new fractional q integral Grüss type inequalities and other inequalities
... tional integral inequalities and applications have been addressed extensively by several ...fractional integral inequalities by using the Riemann- Liouville fractional ... See full document
15
Opial type inequalities for convex functions and associated results in fractional calculus
... these inequalities in a fractional point of ...fractional integral operators via particular kernels to obtain Riemann– Liouville, Caputo, and Canavati fractional Opial-type ...these ... See full document
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q Integral inequalities associated with some fractional q integral operators
... fractional integral, presented some interesting integral inequalities of Pólya and Szegö ...Szegö type q-inequalities associated with fractional q-integral ... See full document
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