WebAPI. Dependency injection with Ninject in case of inheritance

I'm pretty new to ASP.NET WebApi project, but hopefully I'll put everything straight enough. After creating couple CRUD Controllers a brilliant idea come to my mind - write generic base CRUD-web-API controller for all of them and do not mess with rewriting same code.
After successful implementation of such class I faced problem with dependency resolving which is still working fine for non-generic/-inherited controllers.
Simple request (GET, POST, etc.) gives:
Type 'UsersController' does not have a default constructor","ExceptionType":"System.ArgumentException"

Default constructor without injections works fine. Obviously I have a problem with Ninject configuration.

public abstract class BaseCRUDController<T> : ApiController where T : class, IClientEntity 
   {
      private readonly Repository<T> _repo;
      private readonly IDbContextDataProvider _context;

      // With this ctor everything works well
      public BaseCRUDController()
      {
         this._context = new ModelContext();
         this._repo = new Repository<T>(this._context);
      }

      // Injection is not working ((
      public BaseCRUDController(IDbContextDataProvider context)
      {
         this._context = context;
         this._repo = new Repository<T>(context);
      }

And concrete Controller for User entity:

public class UsersController : BaseCRUDController<User>
{      
  UsersController(IDbContextDataProvider context) : base(context) { }

  UsersController() : base() { }
}

And Ninject config itself:

public class DataProviderModule : NinjectModule
{
  public override void Load()
  {
     this.Bind<IDbContextDataProvider>().To<ModelContext>().InSingletonScope();
  }
}
public class NinjectResolver
{
  // Instantinate Ninject dependencies resolver
  public static System.Web.Http.Dependencies.IDependencyResolver GetConfiguredDependencyResolver()
  {
     IKernel kernel = new StandardKernel(new DataProviderModule());
     System.Web.Http.Dependencies.IDependencyResolver njResolver = new NinjectResolver(kernel);
     return njResolver;
  }
}

And Application_Start

protected void Application_Start()
{
    AreaRegistration.RegisterAllAreas();

    var config = GlobalConfiguration.Configuration;
    config.DependencyResolver = NinjectResolver.GetConfiguredDependencyResolver();

    WebApiConfig.Register(config);

What am I doing wrong here?

public class UsersController : ApiController
{      
  UsersController(IDbContextDataProvider context)
  {
     .... 
  }    

...