Results 21 to 30 of about 643,553 (189)

New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel ...
Abd-Allah Hyder, Çetin Yildiz
wiley   +1 more source

Some Inequalities of Hermite–Hadamard Type for MT‐h‐Convex Functions via Classical and Generalized Fractional Integrals

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Convexity plays a vital role in pure and applied mathematics specially in optimization theory, but the classical convexity is not enough to fulfil the needs of modern mathematics; hence, it is important to study generalized notion of convexity. Fraction integral operators also become an important tool for solving problems of model physical and ...
Hengxiao Qi, Waqas Nazeer, Fatima Abbas, Wenbo Liao, Behrouz Parsa Moghaddam   +4 more
wiley   +1 more source

On the Gruss Inequality for unital 2-positive linear maps [PDF]

, 2015
In a recent work, Moslehian and Rajic have shown that the Gruss inequality holds for unital n-positive linear maps $\phi:\mathcal A \rightarrow B(H)$, where $\mathcal A$ is a unital C*-algebra and H is a Hilbert space, if $n \ge 3$. They also demonstrate
S. Balasubramanian
semanticscholar   +1 more source

On Ostrowski Type Inequalities for Generalized Integral Operators

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
It is well known that mathematical inequalities have played a very important role in solving both theoretical and practical problems. In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.
Martha Paola Cruz, Ricardo Abreu-Blaya, Paul Bosch, José M. Rodríguez, José M. Sigarreta, Xiaolong Qin   +5 more
wiley   +1 more source

Two Alternative Proofs of the Grüss Inequality

, 2020
The classical Grüss inequality has spurred a range of improvements, generalizations, and extensions. In this article, we provide new functional bounds that ultimately lead to two elementary proofs of the inequality that might be of interest.
M. Tchernookov
semanticscholar   +1 more source

Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the (k, s)‐Riemann‐Liouville fractional integral operator with the generalized Katugampola fractional integral operator.
Majid K. Neamah, Alawiah Ibrahim, Hala Shaker Mehdy, Saleh S. Redhwan, Mohammed S. Abdo, Humberto Rafeiro   +5 more
wiley   +1 more source

A refinement of Grüss inequality for the complex integral

, 2020
Assume that f and g are continuous on γ, γ ⊂ 𝔺 is a piecewise smooth path parametrized by z (t), t ∈ [a, b] from z (a) = u to z (b) = w with w ≠ u and the complex Čebyšev functional is defined by 𝒟γ(f,g):=1w-u∫γf(z)g(z)dz-1w-u∫γf(z)dz1w-u∫γg(z)dz. {{\cal
S. Dragomir
semanticscholar   +1 more source

Fractional Minkowski‐Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag‐Leffler function in its kernel. We prove the boundedness of this newly defined operator. A fractional integral operator comprising a unified Mittag‐Leffler function is used to establish further Minkowski‐type integral inequalities ...
Tingmei Gao, Ghulam Farid, Ayyaz Ahmad, Waewta Luangboon, Kamsing Nonlaopon, Sibel Yalçın   +5 more
wiley   +1 more source

Integral inequalities via fractional quantum calculus

Journal of Inequalities and Applications, 2016
In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad, Sotiris K Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Chebyshev‐Type Inequalities Involving (k, ψ)‐Proportional Fractional Integral Operators

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Expanding the analytical aspect of mathematics enables researchers to study more cosmic phenomena, especially with regard to the applied sciences related to fractional calculus. In the present paper, we establish some Chebyshev‐type inequalities in the case synchronous functions.
Bhagwat R. Yewale, Deepak B. Pachpatte, Tariq A. Aljaaidi, Wilfredo Urbina   +3 more
wiley   +1 more source