[PDF] Top 20 A Study on New q Integral Inequalities
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A Study on New q Integral Inequalities
... In the coming section, we start with Lemma 2.1, which represent a generalization of ([1], Lemma 1.3). Theorems 2.3 and 2.4 are generalizations of Theorems 1.1 and 1.2 respectively, while Theorem 2.5 gives a ge- ... See full document
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q Non uniform difference calculus and classical integral inequalities
... of q-non uniform difference calculus necessary for the sequel, and then study the mentioned integral ...the q-non uniform difference calculus are clearly defined on the ... See full document
22
Some Opial type integral inequalities via \((p,q)\) calculus
... recent integral inequalities in the quan- tum calculus of two parameters, ...(p, q)-analog, which generalize the results of [2, ...a new generalization of Steffensen’s and some other new ... See full document
11
INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
... this study is to handle new generalized midpoint, trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional integral ...a new fractional integral ... See full document
10
New Retarded Integral Inequalities with Applications
... type inequalities 2–6. These inequalities provide necessary tools in the study of the theory of differential equations, integral equations, and inequalities of various ...Gronwall-like ... See full document
15
New Integral Inequalities in Quantum Calculus
... N.T., Integral inequalities of Gr¨ uss type via P´ olya-Szeg¨ o and Shisha-Mond results, East Asian Math.. R., Basic Hypergeometric Series , 2nd Edition, (2004), Encyclopedia of Mathemat[r] ... See full document
9
Some new Hardy type inequalities for Riemann Liouville fractional q integral operator
... of q-calculus and a new ...H: q-Hypergeometric Functions and Applications. Halsted, New York (1983) ...H: Integral inequalities in ...Several q-integral ...Several ... See full document
17
Quantum integral inequalities on finite intervals
... The integral inequalities play a fundamental role in the theory of differential ...The study of the fractional q-integral inequalities is also of great ...importance. ... See full document
13
Opial inequality in q calculus
... In this paper we have established a new general Opial type integral inequality in q-calculus. Further, we investigated the Opial inequalities in q-calculus involving two functions and ... See full document
8
Some Quantum Estimates of Hermite-Hadamard Inequalities for Convex Functions
... mathematical inequalities. In this paper, we first establish a new quantum integral identity and then develop some quantum estimates of Hermite-Hadamard type inequal- ities for convex ... See full document
17
q Integral inequalities associated with some fractional q integral operators
... fractional q-integral inequalities have been investigated by many ...fractional q-integral inequalities have become one of the most powerful and far-reaching tools for the ... See full document
13
Some new fractional q integral Grüss type inequalities and other inequalities
... 16. Al-Salam, WA: Some fractional q-integrals and q-derivatives. Proc. Edinb. Math. Soc. 15(2), 135-140 (1966/1967) 17. Agarwal, RP: Certain fractional q-integrals and q-derivatives. Proc. ... See full document
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NEW REFINEMENTS AND INTEGRAL INEQUALITIES FOR CONCAVE FUNCTIONS
... P, Q and R are three distinct points under the graph of f with Q between P and R, then Q is on or above chord P ...important inequalities are established for the class of concave functions, ... See full document
11
On a class of fractional q-Integral inequalities
... The study of the q-integral inequalities play a fundamental role in the theory of differential equations. We refer the reader to [3, 8, 9, 14] for further information and applications. To ... See full document
6
Fractional integral operator for $L^1$ vector fields and its applications
... fractional integral operator for vector fields in weighted L 1 ...fractional integral operator and Stein-Weiss inequalities, we can give a new proof for a class of Caffarelli-Kohn-Nirenberg ... See full document
11
Some identities on the twisted q Bernoulli numbers and polynomials with weight α
... By using the p-adic q-integral on Zp , we give some identities and relations on the twisted q-Bernoulli numbers and polynomials with weight α.... Jang Journal of Inequalities and Applica[r] ... See full document
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New Integral Inequalities for Iterated Integrals with Applications
... Pachpatte, “On a certain retarded integral inequality and applications,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Pachpatte, “Inequalities applicable to certain par[r] ... See full document
18
On a new class of convex functions and integral inequalities
... of inequalities. Many famous inequalities can be obtained using the concept of convex ...these inequalities, Hermite–Hadamard’s inequality, which provides us a necessary and sufficient condition for a ... See full document
14
New aspects of Opial type integral inequalities
... time new mathematical generalizations of this operator were de- ...of inequalities obtained by Andrić et ...Opial-type integral inequalities for Caputo–Fabrizio ... See full document
11
New Integral Inequalities through Invexity with Applications
... Now let a and bbe positive real numbers such that a < b.consider the function a < b. M : M (b, a) : [a, a + η (b, a)] × [a, a + η (b, a)] → R, which is one of the above mentioned means, therefore one can obtain ... See full document
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