Results 21 to 30 of about 67,609 (152)

Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions

Axioms, 2023
In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulić Himmelreich, Josip Pečarić, Dora Pokaz, Marjan Praljak   +3 more
doaj   +1 more source

Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative

Advances in Difference Equations, 2021
In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz, Muhammad Nawaz Naeem, Yu-Ming Chu   +2 more
doaj   +1 more source

On Inequalities for q‐h‐Integrals via Convex Functions

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This article aims to investigate unified versions of the well‐known Hermite–Hadamard inequality by considering q‐h‐integrals and properties of convex functions. Currently published results for q‐integrals can be deduced from inequalities of this paper. Moreover, some new results are presented in terms of corollaries.
Yonghong Liu, Afis Saliu, Ferdous M. O. Tawfiq, Matloob Anwar, Ghulam Farid, Waseela Bibi, Xiaolong Qin   +6 more
wiley   +1 more source

Generalized Čebyšev and Grüss Type Results in Weighted Lebesgue Spaces

Mathematics, 2023
The classical Grüss and related inequalities have spurred a range of improvements, refinements, generalizations, and extensions. In the present article, we provide generalizations of Sokolov’s inequality in weighted Lebesgue LωΩ,A,μ spaces by employing ...
Saad Ihsan Butt, Josip Pečarić, Sanja Tipurić-Spužević   +2 more
doaj   +1 more source

Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann‐Liouville Fractional Operator

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann‐Liouville (RL) fractional integral operator, new Hadamard‐type inequalities are proved for exponentially convex functions
Ahmet Ocak Akdemir, Sinan Aslan, Mustafa Ali Dokuyucu, Ercan Çelik, Serena Matucci   +4 more
wiley   +1 more source

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

Construction of New Ostrowski’s Type Inequalities By Using Multistep Linear Kernel

Cumhuriyet Science Journal, 2023
In this paper, we construct a generalisation of Ostrowski’s type inequalities with the help of new identity. By using this identity, we construct further results for ģ^'∈L^1 [c ̇,d ̆ ],ģ^'∈L^2 [c ̇,d ̆ ],ģ^''∈L^2 [c ̇,d ̆ ].
Yasır Qayyum, Haider Ali, Faiz Rasool, Ather Qayyum   +3 more
doaj   +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

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