Edit Profile (opens in new tab) Usta, Fuat Co-Author Distance Author ID: usta.fuat Published as: Usta, Fuat; Usta, F. Documents Indexed: 38 Publications since 2016 Co-Authors: 20 Co-Authors with 28 Joint Publications 434 Co-Co-Authors all top 5 Co-Authors 10 single-authored 20 Sarikaya, Mehmet Zeki 13 Budak, Hüseyin 3 Kara, Emrah Evren 2 Ansari, Khursheed Jamal 2 İlkhan, Merve 2 Levesley, Jeremy 1 Akyigit, Mahmut 1 Betus, Ömür 1 Bulut, Hasan 1 Dong, Zhaonan 1 Ertugral, Fatma 1 Georgoulis, Emmanuil H. 1 Özçelik, Reyhan 1 Ozdemir, Muhamet Emin 1 Say, Fatih 1 Set, Erhan 1 Sulaiman, Tukur Abdulkadir 1 Tunç, Tuba 1 Yavuz, Mehmet E. 1 Yildirim, Huseyin all top 5 Serials 4 Mathematical Methods in the Applied Sciences 3 Filomat 2 Advances in Difference Equations 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 International Journal of Analysis and Applications 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Mathematica Slovaca 1 Facta Universitatis. Series Mathematics and Informatics 1 Acta Mathematica Universitatis Comenianae. New Series 1 Numerical Algorithms 1 Computational and Applied Mathematics 1 Advances in Applied Clifford Algebras 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Journal of Applied Analysis 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Hacettepe Journal of Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 Applications and Applied Mathematics 1 International Journal of Nonlinear Analysis and Applications 1 Iranian Journal of Mathematical Sciences and Informatics 1 TWMS Journal of Applied and Engineering Mathematics 1 Arabian Journal of Mathematics 1 Konuralp Journal of Mathematics 1 Cogent Mathematics 1 AIMS Mathematics all top 5 Fields 23 Real functions (26-XX) 12 Numerical analysis (65-XX) 11 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 3 Partial differential equations (35-XX) 2 Integral transforms, operational calculus (44-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 113 times in 76 Documents Cited by ▼ Year ▼ On generalization of trapezoid type inequalities for \(s\)-convex functions with generalized fractional integral operators. Zbl 1499.26194Usta, Fuat; Budak, Hüseyin; Sarikaya, Mehmet Zeki; Set, Erhan 10 2018 Some improvements of conformable fractional integral inequalities. Zbl 1378.26005Usta, Fuat; Sarikaya, Mehmet Zeki 8 2017 On generalization of Pachpatte type inequalities for conformable fractional integral. Zbl 1400.26063Usta, F.; Sarikaya, M. Z. 7 2018 Explicit bounds on certain integral inequalities via conformable fractional calculus. Zbl 1438.26103Usta, Fuat; Sarıkaya, Mehmet Zeki 7 2017 On comparison theorems for conformable fractional differential equations. Zbl 1386.26036Zeki Sarikaya, Mehmet; Usta, Fuat 6 2016 Multilevel quasi-interpolation on a sparse grid with the Gaussian. Zbl 1392.65073Usta, Fuat; Levesley, Jeremy 6 2018 New bounds for the Ostrowski-type inequalities via conformable fractional calculus. Zbl 1403.26024Usta, Fuat; Budak, Hüseyin; Tunç, Tuba; Sarikaya, Mehmet Zeki 6 2018 Numerical solution of Volterra integral equations via Szász-Mirakyan approximation method. Zbl 1490.65321Usta, Fuat; İlkhan, Merve; Kara, Emrah Evren 5 2021 Analysis and numerical computations of the fractional regularized long-wave equation with damping term. Zbl 1470.35419Yavuz, Mehmet; Sulaiman, Tukur Abdulkadir; Usta, Fuat; Bulut, Hasan 5 2021 Compact operators on the Jordan totient sequence spaces. Zbl 07377084İlkhan, Merve; Kara, Evren Emrah; Usta, Fuat 5 2021 On generalization of midpoint type inequalities with generalized fractional integral operators. Zbl 1423.26035Budak, Hüseyin; Usta, Fuat; Sarikaya, Mehmet Zeki; Ozdemir, M. Emin 5 2019 Some new Chebyshev type inequalities utilizing generalized fractional integral operators. Zbl 1484.26095Usta, Fuat; Budak, Hüseyin; Sarıkaya, Mehmet Zeki 4 2020 The Minkowski’s inequalities utilizing newly defined generalized fractional integral operators. Zbl 1487.26058Usta, Fuat; Budak, Hüseyin; Ertugral, Fatma; Sarikaya, Mehmet Zeki 4 2019 Approximating the finite Hilbert transform for absolutely continuous mappings and applications in numerical integration. Zbl 1400.26064Usta, Fuat 3 2018 Numerical analysis of fractional Volterra integral equations via Bernstein approximation method. Zbl 1465.65170Usta, Fuat 3 2021 Approximation of functions with linear positive operators which fix \(\{1,\varphi\}\) and \(\{1, \varphi^2\}\). Zbl 1488.41065Usta, Fuat 3 2020 Montgomery identities and Ostrowski type inequalities for fractional integral operators. Zbl 1416.26050Usta, Fuat; Budak, Hüseyin; Sarikaya, Mehmet Zeki 3 2019 On bivariate retarded integral inequalities and their applications. Zbl 1474.26145Usta, Fuat; Sarıkaya, Mehmet Zeki 2 2019 Some generalized integral inequalities via fractional integrals. Zbl 1478.26022Sarikaya, Mehmet Zeki; Budak, Hüseyin; Usta, Fuat 2 2020 On generalization conformable fractional integral inequalities. Zbl 1499.26195Usta, Fuat; Sarikaya, Mehmet Zeki 2 2018 A new modification of Gamma operators with a better error estimation. Zbl 1514.41019Usta, Fuat; Betus, Ömür 2 2022 The analytical solution of Van der Pol and Liénard differential equations within conformable fractional operator by retarded integral inequalities. Zbl 1423.26019Usta, Fuat; Sarıkaya, Mehmet Zeki 2 2019 New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Zbl 1408.26020Budak, Hüseyin; Usta, Fuat; Sarıkaya, Mehmet Zeki 2 2018 A note on approximating finite Hilbert transform and quadrature formula. Zbl 1428.41011Usta, Fuat 1 2019 On approximating the finite Hilbert transform and applications in numerical integration. Zbl 1437.44004Usta, Fuat 1 2019 Some Hermite-Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel. Zbl 1429.26033Budak, Hüseyin; Sarikaya, Mehmet Zeki; Usta, Fuat; Yildirim, Hüseyin 1 2019 Numerical solution of fractional elliptic PDE’s by the collocation method. Zbl 1368.65202Usta, Fuat 1 2017 Bernstein approximation technique for numerical solution of Volterra integral equations of the third kind. Zbl 1476.65349Usta, Fuat 1 2021 Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations. Zbl 1496.65241Usta, Fuat; Akyiğit, Mahmut; Say, Fatih; Ansari, Khursheed J. 1 2022 On approximation properties of a new construction of Baskakov operators. Zbl 1494.41012Usta, Fuat 1 2021 Approximation properties of a new family of gamma operators and their applications. Zbl 1494.41011Özçelik, Reyhan; Kara, Emrah Evren; Usta, Fuat; Ansari, Khursheed J. 1 2021 A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. Zbl 1442.65365Dong, Zhaonan; Georgoulis, Emmanuil H.; Levesley, Jeremy; Usta, Fuat 1 2018 Refinements of the Hermite-Hadamard inequality for co-ordinated convex mappings. Zbl 1414.26042Budak, Huseyin; Usta, Fuat; Sarikaya, Mehmet Zeki 1 2019 Yang-Laplace transform method Volterra and Abel’s integro-differential equations of fractional order. Zbl 1412.65246Usta, Fuat; Budak, Huseyin; Sarikaya, Mehmet 1 2018 A new modification of Gamma operators with a better error estimation. Zbl 1514.41019Usta, Fuat; Betus, Ömür 2 2022 Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations. Zbl 1496.65241Usta, Fuat; Akyiğit, Mahmut; Say, Fatih; Ansari, Khursheed J. 1 2022 Numerical solution of Volterra integral equations via Szász-Mirakyan approximation method. Zbl 1490.65321Usta, Fuat; İlkhan, Merve; Kara, Emrah Evren 5 2021 Analysis and numerical computations of the fractional regularized long-wave equation with damping term. Zbl 1470.35419Yavuz, Mehmet; Sulaiman, Tukur Abdulkadir; Usta, Fuat; Bulut, Hasan 5 2021 Compact operators on the Jordan totient sequence spaces. Zbl 07377084İlkhan, Merve; Kara, Evren Emrah; Usta, Fuat 5 2021 Numerical analysis of fractional Volterra integral equations via Bernstein approximation method. Zbl 1465.65170Usta, Fuat 3 2021 Bernstein approximation technique for numerical solution of Volterra integral equations of the third kind. Zbl 1476.65349Usta, Fuat 1 2021 On approximation properties of a new construction of Baskakov operators. Zbl 1494.41012Usta, Fuat 1 2021 Approximation properties of a new family of gamma operators and their applications. Zbl 1494.41011Özçelik, Reyhan; Kara, Emrah Evren; Usta, Fuat; Ansari, Khursheed J. 1 2021 Some new Chebyshev type inequalities utilizing generalized fractional integral operators. Zbl 1484.26095Usta, Fuat; Budak, Hüseyin; Sarıkaya, Mehmet Zeki 4 2020 Approximation of functions with linear positive operators which fix \(\{1,\varphi\}\) and \(\{1, \varphi^2\}\). Zbl 1488.41065Usta, Fuat 3 2020 Some generalized integral inequalities via fractional integrals. Zbl 1478.26022Sarikaya, Mehmet Zeki; Budak, Hüseyin; Usta, Fuat 2 2020 On generalization of midpoint type inequalities with generalized fractional integral operators. Zbl 1423.26035Budak, Hüseyin; Usta, Fuat; Sarikaya, Mehmet Zeki; Ozdemir, M. Emin 5 2019 The Minkowski’s inequalities utilizing newly defined generalized fractional integral operators. Zbl 1487.26058Usta, Fuat; Budak, Hüseyin; Ertugral, Fatma; Sarikaya, Mehmet Zeki 4 2019 Montgomery identities and Ostrowski type inequalities for fractional integral operators. Zbl 1416.26050Usta, Fuat; Budak, Hüseyin; Sarikaya, Mehmet Zeki 3 2019 On bivariate retarded integral inequalities and their applications. Zbl 1474.26145Usta, Fuat; Sarıkaya, Mehmet Zeki 2 2019 The analytical solution of Van der Pol and Liénard differential equations within conformable fractional operator by retarded integral inequalities. Zbl 1423.26019Usta, Fuat; Sarıkaya, Mehmet Zeki 2 2019 A note on approximating finite Hilbert transform and quadrature formula. Zbl 1428.41011Usta, Fuat 1 2019 On approximating the finite Hilbert transform and applications in numerical integration. Zbl 1437.44004Usta, Fuat 1 2019 Some Hermite-Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel. Zbl 1429.26033Budak, Hüseyin; Sarikaya, Mehmet Zeki; Usta, Fuat; Yildirim, Hüseyin 1 2019 Refinements of the Hermite-Hadamard inequality for co-ordinated convex mappings. Zbl 1414.26042Budak, Huseyin; Usta, Fuat; Sarikaya, Mehmet Zeki 1 2019 On generalization of trapezoid type inequalities for \(s\)-convex functions with generalized fractional integral operators. Zbl 1499.26194Usta, Fuat; Budak, Hüseyin; Sarikaya, Mehmet Zeki; Set, Erhan 10 2018 On generalization of Pachpatte type inequalities for conformable fractional integral. Zbl 1400.26063Usta, F.; Sarikaya, M. Z. 7 2018 Multilevel quasi-interpolation on a sparse grid with the Gaussian. Zbl 1392.65073Usta, Fuat; Levesley, Jeremy 6 2018 New bounds for the Ostrowski-type inequalities via conformable fractional calculus. Zbl 1403.26024Usta, Fuat; Budak, Hüseyin; Tunç, Tuba; Sarikaya, Mehmet Zeki 6 2018 Approximating the finite Hilbert transform for absolutely continuous mappings and applications in numerical integration. Zbl 1400.26064Usta, Fuat 3 2018 On generalization conformable fractional integral inequalities. Zbl 1499.26195Usta, Fuat; Sarikaya, Mehmet Zeki 2 2018 New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Zbl 1408.26020Budak, Hüseyin; Usta, Fuat; Sarıkaya, Mehmet Zeki 2 2018 A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. Zbl 1442.65365Dong, Zhaonan; Georgoulis, Emmanuil H.; Levesley, Jeremy; Usta, Fuat 1 2018 Yang-Laplace transform method Volterra and Abel’s integro-differential equations of fractional order. Zbl 1412.65246Usta, Fuat; Budak, Huseyin; Sarikaya, Mehmet 1 2018 Some improvements of conformable fractional integral inequalities. Zbl 1378.26005Usta, Fuat; Sarikaya, Mehmet Zeki 8 2017 Explicit bounds on certain integral inequalities via conformable fractional calculus. Zbl 1438.26103Usta, Fuat; Sarıkaya, Mehmet Zeki 7 2017 Numerical solution of fractional elliptic PDE’s by the collocation method. Zbl 1368.65202Usta, Fuat 1 2017 On comparison theorems for conformable fractional differential equations. Zbl 1386.26036Zeki Sarikaya, Mehmet; Usta, Fuat 6 2016 all cited Publications top 5 cited Publications all top 5 Cited by 170 Authors 9 Set, Erhan 8 Usta, Fuat 5 Budak, Hüseyin 4 Choi, Junesang 4 Rahman, Gauhar 4 Sarikaya, Mehmet Zeki 3 Abdeljawad, Thabet 3 Ansari, Khursheed Jamal 3 Gözpinar, Abdurrahman 3 Sooppy Nisar, Kottakkaran 2 Ahmad, Hijaz 2 Aljaaidi, Tariq A. 2 Băleanu, Dumitru I. 2 Dağli, Muhammet Cihat 2 Du, Tingsong 2 Pachpatte, Deepak B. 2 Rashid, Saima 2 Sakka, Ayman Hashem 2 Samraiz, Muhammad 2 Tayyan, B. A. 2 Yavuz, Mehmet E. 2 Yaying, Taja 1 Abdo, Mohammed Salem 1 Abodayeh, Kamaleldin 1 Agarwal, Praveen 1 Aghili, Arman 1 Ahmad, Abdulaziz Garba 1 Ahmad, Imtiaz 1 Akdemir, Ahmet Ocak 1 Akgül, Ali 1 Akyigit, Mahmut 1 Alan, Emrullah Aykan 1 ALHorani, Mohammed 1 Ali, Ali A. 1 Ali, Anwar 1 Aliyu, Aliyu Isa 1 Alsharif, Abdullah M. 1 Aminakbari, Najva 1 Anastassiou, George Angelos 1 Arawomo, Peter Olutola 1 Asjad, Muhammad Imran 1 Aslan, Reşat 1 Awan, Khalid Mahmood 1 Awan, Muhammed Uzair 1 Ayyildiz, Meral 1 Azam, Muhammad Khursheed 1 Azeema 1 Babakhani, Azizollah 1 Bai, Libing 1 Bhatti, Muhammad Yousaf 1 Bica, Alexandru Mihai 1 Butt, Saad Ihsan 1 Çelik, Barış 1 Chatzarakis, George E. 1 Cheung, Wingsum 1 Chu, Yuming 1 Demir, Seda 1 Demirbaş, Sevdenur 1 Ding, Yuanlin 1 Ditta, Allah 1 Duan, Yong 1 Ekinci, Alper 1 Eroğlu, Nazlıcan 1 Ezzati, Reza 1 Farid, Ghulam 1 Fečkan, Michal 1 Feng, Limei 1 Fernández-Anaya, Guillermo 1 Gairola, Asha Ram 1 Gao, Qinjiao 1 García Guirao, Juan Luis 1 Ghaffar, Abdul 1 Gu, Yongyi 1 Guran, Liliana 1 Gürbüz, Mustafa Çağrı 1 Gurdal, Mehmet 1 Hamed, Yasser S. 1 Hazarika, Bipan 1 Hezenci, Fatih 1 Hu, Gou 1 Hubbert, Simon 1 Hussain, Arshad 1 Hussain, Iltaf 1 Hussain, Rashida 1 Ịçöz, Gürhan 1 Inc, Mustafa 1 Iqbal, Javed 1 İşcan, İmdat 1 Jäger, Janin 1 Kara, Emrah Evren 1 Kara, Hasan Hüseyin 1 Karvonen, Toni 1 Kashuri, Artion 1 Kempf, Rüdiger 1 Khalil, Roshdi Rashid 1 Khan, Aftab 1 Khan, Khuram Ali 1 Khan, Vakeel A. 1 Kokut, Necla 1 Latif, Asia ...and 70 more Authors all top 5 Cited in 42 Serials 9 Advances in Difference Equations 8 Journal of Inequalities and Applications 5 Journal of Function Spaces 4 AIMS Mathematics 3 Computational and Applied Mathematics 3 Filomat 2 Linear and Multilinear Algebra 2 Rocky Mountain Journal of Mathematics 2 Mathematica Slovaca 2 Arabian Journal of Mathematics 2 Fractional Differential Calculus 2 Open Mathematics 2 Korean Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal of Scientific Computing 1 Numerical Algorithms 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Honam Mathematical Journal 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 Proyecciones 1 Applications and Applied Mathematics 1 Operators and Matrices 1 Applicable Analysis and Discrete Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematics and Computer Science. JMCS 1 Afrika Matematika 1 Palestine Journal of Mathematics 1 Journal of Mathematics 1 Topological Algebra and its Applications 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics 1 Applied Mathematics and Nonlinear Sciences 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 18 Fields 46 Real functions (26-XX) 13 Approximations and expansions (41-XX) 13 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 8 Special functions (33-XX) 8 Integral equations (45-XX) 7 Functional analysis (46-XX) 4 Sequences, series, summability (40-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 2 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) Citations by Year